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Fractions Worksheets

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Fractions as a Part of The Whole

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Different divisors and dividends with equal quotients No.1

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fractions worksheets nz

New Zealand Mathematics Curriculum

Being able to round and estimate numbers enables people to perform calculations in their head quickly and without using a calculator. Math Games motivates students to practice and hone this important skill by blending learning with play in its appealing online games!

Pupils can use our resources to practice:

  • Understanding, identifying and comparing fractions of numbers and shapes
  • Making equivalent fractions and reducing fractions
  • Performing calculations with fractions and mixed numbers
  • Converting between fractions, percents, decimals and mixed numbers

Other resources for teachers and parents include downloadable worksheets and apps, and a digital textbook. We have activities for every grade and ability level, and all of them are aligned with the Common Core State Standards for Mathematics. Choose a skill to start playing!

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Fractions Worksheets

Fraction worksheets for grades 1 through 6.

Our fraction worksheets start with the introduction of the concepts of " equal parts ", "parts of a whole" and "fractions of a group or set"; and proceed to operations on fractions and mixed numbers.  

Choose your grade / topic:

Grade 1 fraction worksheets, grade 2 fraction worksheets, grade 3 fraction worksheets.

Fraction worksheets

Fractions to decimals

Fraction addition and subtraction

Fraction multiplication and division

Converting fractions, equivalent fractions, simplifying fractions

Fraction to / from decimals 

Fraction addition and subtraction 

Fraction multiplication and division worksheets

Fraction to / from decimals

Topics include:

  • Identifying "equal parts"
  • Dividing shapes into "equal parts"
  • Parts of a whole
  • Fractions in words
  • Coloring shapes to make fractions
  • Writing fractions
  • Fractions of a group or set
  • Word problems: write the fraction from the story
  • Equal parts
  • Numerators and denominators of a fraction
  • Writing fractions from a numerator and denominator
  • Reading fractions and matching to their words
  • Writing fractions in words
  • Identifying common fractions (matching, coloring, etc)
  • Fractions as part of a set or group (identifying, writing, coloring, etc)
  • Using fractions to describe a set
  • Comparing fractions with pie charts (parts of whole, same denominator)
  • Comparing fractions with pie charts (same numerator, different denominators)
  • Comparing fractions with pictures (parts of sets)
  • Comparing fractions with block diagrams
  • Understanding fractions word problems
  • Writing and comparing fractions word problems
  • Identifying fractions
  • Fractional part of a set
  • Identifying equivalent fractions
  • Equivalent fractions - missing numerators, denominators
  • 3 Equivalent fractions
  • Comparing fractions with pie charts (same denominator)
  • Comparing proper fractions with pie charts
  • Comparing proper or improper fractions with pie charts
  • Compare mixed numbers with pie charts
  • Comparing fractions (like, unlike denominators)
  • Compare improper fractions, mixed numbers
  • Simplifying fractions (proper, improper)
  • Adding like fractions
  • Adding mixed numbers
  • Completing whole numbers
  • Subtracting like fractions
  • Subtracting a fraction from a whole number or mixed number
  • Subtracting mixed numbers
  • Converting fractions to / from mixed numbers
  • Converting mixed numbers and fractions to / from decimals
  • Fractions word problems

Grade 4 fraction worksheets

  • Adding like fractions (denominators 2-12)
  • Adding like fractions (all denominators)
  • Adding fractions and mixed numbers (like denominators)
  • Subtracting like fractions (denominators 2-12)
  • Subtracting fractions from whole numbers, mixed numbers
  • Subtracting mixed numbers from mixed numbers or whole numbers
  • Comparing improper fractions and mixed numbers with pie charts
  • Comparing proper and improper fractions
  • Ordering 3 fractions
  • Identifying equivalent fractions (pie charts)
  • Writing equivalent fractions (pie charts)
  • Equivalent fractions with missing numerators or denominators

Grade 4 fractions to decimals worksheets

  • Convert decimals to fractions (tenths, hundredths)
  • Convert decimals to mixed numbers (tenths, hundredths)
  • Convert fractions to decimals (denominator of 10 or 100)
  • Convert mixed numbers to decimals (denominator of 10 or 100)

Grade 5 addition and subtraction of fractions worksheets

  • Adding like fractions (denominators 2-25)
  • Adding mixed numbers and / or fractions (like denominators)
  • Adding unlike fractions & mixed numbers
  • Subtracting fractions from whole numbers and mixed numbers (same denominators)
  • Subtracting mixed numbers with missing subtrahend or minuend)
  • Subtracting unlike fractions
  • Subtracting mixed numbers (unlike denominators)
  • Word problems on adding and subtracting fractions

Grade 5 fraction multiplication and division worksheets

  • Multiply fractions by whole numbers
  • Multiply fractions by fractions
  • Multiply improper fractions
  • Multiply fractions by mixed numbers
  • Multiply mixed numbers by mixed numbers
  • Missing factor questions
  • Divide whole numbers by fractions (answers are whole numbers)
  • Divide a fraction by a whole number and vice versa
  • Divide mixed numbers by fractions
  • Divide fractions by fractions
  • Mixed numbers divided by mixed numbers
  • Word problems on multiplying and dividing fractions
  • Mixed operations with fractions word problems

Grade 5 converting, simplifying & equivalent fractions

  • Converting improper fractions to / from mixed numbers
  • Simplifying proper fractions
  • Simplifying proper and improper fractions
  • Equivalent fractions (2 fractions)
  • Equivalent fractions (3 fractions)

Grade 5 fraction to / from decimals worksheets

  • Convert decimals to fractions (tenths, hundredths), no simplification
  • Convert decimals to fractions (tenths, hundredths), with simplification
  • Convert decimals to mixed numbers
  • Convert fractions to decimals (denominators of 10 or 100)
  • Convert mixed numbers to decimals (denominators of 10 or 100)
  • Convert mixed numbers to decimals (denominators of 10, 100 or 1000)
  • Convert fractions to decimals (common denominators of 2, 4, 5, ...)
  • Convert mixed numbers to decimals (common denominators of 2, 4, 5, ...)
  • Convert fractions to decimals, some with repeating decimals

Grade 6 addition and subtraction of fractions worksheets

  • Adding unlike fractions
  • Adding  fractions and mixed numbers
  • Adding mixed numbers (unlike denominators)
  • Subtract unlike fractions
  • Subtract mixed numbers (unlike denominators)

Grade 6 fraction multiplication and division worksheets

  • Fractions multiplied by whole numbers
  • Fractions multiplied by fractions
  • Mixed numbers multiplied by fractions
  • Mixed numbers multiplied by mixed numbers
  • Whole numbers divided by fractions
  • Fractions divided by fractions
  • Mixed numbers divided by mixed nuymbers
  • Mixed multiplication or division practice

Grade 6 converting, simplifying and equivalent fractions worksheets

  • Convert improper fractions to / from mixed numbers
  • Simplify proper fractions
  • Simplify proper and improper fractions
  • Equivalent fractions (4 fractions)

Grade 6 fraction to / from decimals worksheets

  • Convert decimals to fractions, with simplification
  • Convert decimals to mixed numbers, with simplification
  • Convert fractions to decimals (denominators are 10 or 100)
  • Convert fractions to decimals (various denominators)
  • Convert mixed numbers to decimals (various denominators)

Related topics

Decimals worksheets

Word problem worksheets

fractions worksheets nz

Sample Fractions Worksheet

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fractions worksheets nz

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fractions worksheets nz

Year 4 - Fractions

Unlimited worksheets.

Every time you click the New Worksheet button, you will get a brand new printable PDF worksheet on Fractions . You can choose to include answers and step-by-step solutions.

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Unlimited adaptive online practice on Fractions . Practice that feels like play! Get shields, trophies, certificates and scores. Master Fractions as you play.

Unlimited Online Tests

Take unlimited online tests on Fractions . Get instant scores and step-by-step solutions on submission. Make sure you always get your answers right in Fractions .

Contents: Fractions

Fractions - Mixed questions on Fractions

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Maths Fractions and Decimals Worksheets

Maths Fractions and Decimals Worksheets

Subject: Mathematics

Age range: 14-16

Resource type: Worksheet/Activity

Worksheet Whisperer

Last updated

22 February 2024

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fractions worksheets nz

Overview This resource is a comprehensive set of 5 downloadable worksheets designed to reinforce and enhance students’ skills in Maths Fractions and Decimals topics.

Worksheet Structure It includes a mixture of worksheets and practice pyramids, including: Fractions, Decimals, Percentages worksheet Fractions Recurring Decimals worksheet Fractions worksheet Fractions Practice Pyramid Decimals Practice Pyramid

Answer Key Accompanying the 5 worksheets and practice pyramids are answers to each worksheet. This resource serves as a valuable tool for both self-assessment and facilitator guidance, allowing students to review their work independently or seek assistance when needed.

Printable Format The Maths Fractions and Decimals Worksheets is available in a downloadable PDF format, making it easy for teachers, parents, or students to print the worksheets and answers for offline use. Clear instructions are provided to ensure a seamless learning experience.

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Simplifying fractions

Thanks for visiting NZMaths. We are preparing to close this site by the end of August 2024. Maths content is still being migrated onto Tāhūrangi, and we will be progressively making enhancements to Tāhūrangi to improve the findability and presentation of content.  

For more information visit https://tahurangi.education.govt.nz/updates-to-nzmaths

These exercises and activities are for students to use independently of the teacher to practice number properties.

  • Simplify fractions using a range of strategies
  • Deciding whether or not it is between to simplify or convert to a mixed number first
  • Find unknowns in box equations

Proportions and Ratios, AM (Stage 7)

Prior knowledge.

  • Basic multiplication facts
  • Simplify fractions using a range of strategies 

Students should have already met the key strategies for simplifying fractions, and be using this worksheet as a means of practising and extending their skills.

Comments on the Exercises

Exercise 1 Asks students to simplify fractions and explain the method they use. Students need to have been introduced to the standard strategies for simplifying fractions, recognising doubles, repeated halving, recognising common factors, and prime factorising. Understanding about prime numbers (and that finding one means only one potentially useful factor can be found) is also important prior learning.

Exercise 2 Asks students to explore whether to simplify first, then convert to a mixed number or if it is easier to convert to a mixed number then simplify.

Exercise 3 Asks students to simplify a list of improper fractions.

Exercise 4 Asks students to complete simplifying fraction questions by putting the missing number in a box. The use of the box introduces a curriculum level 3 algebra aspect to the exercise. The first problems are of a similar format, and encourage the use of the “look for a common factor” strategy. The later problems with an asterisk require a different process. Firstly, one of the fractions is not in the simplest form, which requires students to calculate and “hold” the simplified number mentally then use this to work out the missing number. This is more of a proportional reasoning approach and is higher-level thinking than straightforward simplifying.

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IMAGES

  1. Fraction Number Line Sheets

    fractions worksheets nz

  2. Matariki Read and Colour Fractions Worksheet (teacher made)

    fractions worksheets nz

  3. More Fractions

    fractions worksheets nz

  4. Fraction Worksheet Activities Printable

    fractions worksheets nz

  5. Fraction Practice Worksheet

    fractions worksheets nz

  6. Halves And Quarters NZ Maths Fractions Worksheet

    fractions worksheets nz

VIDEO

  1. How to Add & Subtract Fractions

  2. Teaching Students About Using Fractions with Cooking

  3. Convert Fractions to Decimals

  4. 🤯💯 Finding Equivalent Fraction with Unknown Variables #shorts #equivalent #fraction #variables #math

  5. 7/12 of a cup full

  6. Adding and Subtracting Similar and Dissimilar Fractions

COMMENTS

  1. Maths KS1 Easy and Simple Fractions Worksheets

    KS1 Simple Fractions Worksheets for Kids. Here you can find a variety of simple fractions worksheets, activities and games to help your year 1 and 2 kids understand how to work out fractions, percentages and ratios. With our help, fractions are made easy to understand and use, in maths lessons and in everyday life.

  2. Fractions Worksheets

    Fractions Welcome to our Math Fractions page. Here you will find our wide range of free Fraction Worksheets and resources which will help your child with their Fraction learning - from initial introduction through addition and subtraction, multiplication and division, and into fraction conversion to either decimals or percentages.

  3. Fractions

    Pupils can use our resources to practice: Understanding, identifying and comparing fractions of numbers and shapes. Making equivalent fractions and reducing fractions. Performing calculations with fractions and mixed numbers. Converting between fractions, percents, decimals and mixed numbers. Other resources for teachers and parents include ...

  4. Fractions Activity Pack

    Teach your NZ years 3-4 students all about Fractions, Ratios and Proportions with our collection of worksheets, activities, resource packs, and more! 5 Easy, Fun Fraction Activities Fraction Treasure Hunt - This one is a revision of a classic classroom activity.

  5. Halves And Quarters NZ Maths Fractions Worksheet

    This handy NZ Maths Fractions Worksheet gives your children the opportunity to practice finding halves and quarters of numbers. Your students are to draw pictures of dots to show their thinking for the answer to each question. Example: 1/2 of 12 = 6. This worksheet is perfect for Stage 5 of NZ Numeracy.

  6. Fractions Activity Resources

    This fun worksheet uses the concept of a pizza and different toppings to help your NZ years 0-2 students practice and learn about fractions and how they work. Learning and revising can become a fun game for your NZ years 0-2 students with our Stage 4 Fractions of a Set Challenge Cards .

  7. Fractions Activity Resources

    Our fractions activity resources are perfect to help you make learning fractions fun and engaging for your NZ years 0-2 students. Our resources include PowerPoints, booklets, worksheets, posters, and more. You can use our PowerPoints and posters to provide your students with visual cues when teaching them about fractions.

  8. Fractions Activity Resources

    The fractions activity booklets and worksheets are great for your students to practice the skills they have learned. They cover all the necessary topics that your NZ years 0-2 students will learn and can be used for both classwork and homework assignments. Our worksheets and booklets also come with answer keys to help make assessing easy.

  9. Fractions worksheets for grades 1-6

    Fraction worksheets for grades 1 through 6. Our fraction worksheets start with the introduction of the concepts of "equal parts", "parts of a whole" and "fractions of a group or set"; and proceed to operations on fractions and mixed numbers. Choose your grade / topic: Grade 1 fraction worksheets. Grade 2 fraction worksheets. Grade 3 fraction ...

  10. Year 4

    Year 4 - Fractions problems, online practice, tests, worksheets, quizzes, and teacher assignments.

  11. Fractions Worksheets Year 5

    Our fractions worksheets for year 5 have been carefully designed by teachers to provide broad coverage of the year 5 maths curriculum. For instance, you'll find worksheets that focus on key skills such as finding equivalent fractions. ... New Zealand Curriculum Resources Technology Science Maths English The Arts Health and Physical Education ...

  12. Maths Worksheets

    Find free maths worksheets organised by year level and topics. Practice 1000's of maths questions with answers using our easy to print or download pdf's. Rated 4.7/5 by parents and students (over 458,000 sessions now completed) ... As one of New Zealand's leading education companies, ...

  13. Fractions Maths Teaching Resources

    Make learning about fractions fun for your NZ years 0-2 students with our fun and engaging fractions activity resources. Resources include PowerPoints, booklets, worksheets, posters, and more!

  14. Maths Fractions and Decimals Worksheets

    Fractions worksheet Fractions Practice Pyramid Decimals Practice Pyramid. Answer Key Accompanying the 5 worksheets and practice pyramids are answers to each worksheet. This resource serves as a valuable tool for both self-assessment and facilitator guidance, allowing students to review their work independently or seek assistance when needed.

  15. Year 6 tasks

    Understand a variety of strategies for solving number problems. Use basic facts to solve number problems. Use fraction circles to find equivalent fractions. Use a calculator to convert fractions to decimals. Practise adding and subtracting whole numbers to 100 in a game context. Practise adding decimal numbers.

  16. Equivalent Fractions

    Number Level 3, Book 1: Page 9, Fun with fractions; Pages 10-11, More fractions and To market, To market; Page 14, Racing to new heights. Number Level 3, Book 2, Pages 23, On the trail. Number Level 3, Book 3, Pages 22-24, Fraction Frenzy. Number Sense and Algebraic Thinking, Level 3, Book 1, Pages 18-20, Fraction Tagging. Extension

  17. Student task sheets

    To enable you to help more with your child's maths learning at home, a small selection of problems and task sheets is provided for each primary school year level. It is important to build a good relationship with your child's class teacher, and we recommend that you ask them, in the first instance, for at-home maths work. You may find that ...

  18. Finding Simple Fractions of Amounts Worksheet (teacher made)

    For example: 1/2 . The number on top is called the numerator while the number on the bottom is called the denominator. For example if 1 is the whole of 12 then half of that would be represented as 1/2 which would equal 6. Common fractions are: Halves: 1/2. Quarters: 1/4. Three-quarters: 3/4.

  19. Fruity Fractions of a Set Worksheets

    Consolidate teaching of fractions of a set with this set of great activity sheets. Following a fruity theme, children can work through three different activity sheets to practice multiplication and division strategies to solve fractions of a set problems. Each sheet comprises of 10 questions with space for students to record their strategy and answer for each. A fantastic resource that can be ...

  20. Fractions and Ordering Differentiated Worksheet / Worksheets

    Use these differentiated worksheets to help your children develop their understanding of ordering fractions with the same denominator, and equivalent denominators. Twinkl New Zealand New Zealand Curriculum Outcomes New Zealand Maths Outcomes Numeracy Stages Stage 6 Knowledge Order unit fractions. ordering fractions fractions fractions year 5 ...

  21. Fractions

    This power point presentation (PPT, 381KB) is based on seven teaching scenarios and outlines the key ideas about fractions and how to communicate these to students.. The teaching scenarios (PDF, 63KB) used in the power point are also available as a pdf. It would be useful to print these out and distribute to teachers prior to the professional development meeting, giving teachers time to ...

  22. Year 6 Adding Fractions Activity Sheet Teaching Resources

    A number of adding fractions worksheets are included which differ in difficulty which means that no member of your Year 6 class is left behind when learning about fractions. Plus, the answer sheets are included, to make marking children's work easier. You'll also want to see our Resources for Year 6 to Add and Subtract Fractions.

  23. Simplifying fractions

    Exercise 4. Asks students to complete simplifying fraction questions by putting the missing number in a box. The use of the box introduces a curriculum level 3 algebra aspect to the exercise. The first problems are of a similar format, and encourage the use of the "look for a common factor" strategy. The later problems with an asterisk ...