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Equivalent Fractions Worksheets

Equivalent fractions are built, checked, and applied across six worksheets that move from visual fraction models to a homework-grading task.
Grades
Grades 3–5, Elementary
File type
PDF
Preparation
Print ready

Updated Feb 24, 2023

Subject
Math, Fractions
Topic
equivalent fraction worksheet, equivalent fractions
Resource types
Worksheets & Printables, Worksheets
Preparation
Print ready
Standards
4.NF.A.1

About this resource

What's inside this resource

Six worksheets guide students through equivalent fractions, opening with a worked example showing how multiplying or dividing numerator and denominator by the same number keeps a fraction's value the same, plus a cross-multiplication check method. Students then use picture fraction models to find equivalents, fill in missing numerators or denominators, color balloons showing equivalent fractions, and circle equivalent fractions in a riddle-answer activity ('How do you get a squirrel to like you?'). A final worksheet has students play teacher, checking a fictional student's homework as correct or wrong using the cross-multiplication method, and every page has a matching answer key at the end of the file. Classes ready to apply the equivalence rules beyond worksheet practice can extend the unit with a hands-on pizza fractions project, where partners represent fractions with toppings and write their own word problems.

Product description

From the author

Get ready to present your students equivalent fractions in a way that they will understand. This Equivalent Fractions Worksheets has a handout and easy practices to get the ball rolling on equivalent fractions.
I made this resource with beginners in mind, students who may be struggling to grasp the concept of equivalent fractions. This resource provides students with explanations as to why we use multiplication and division to make equivalent fractions and explain how to use cross multiplication to check our answers.

  • - The first page of this resource presents an example and explanation of equivalent fractions.

  • - Following with using Fraction Models where students are asked to write the equivalent fraction using the pictures presented.

  • - Next, students are asked to make equivalent fractions to the ones presented, aided with illustrations.

  • - As students move along, every practice presented to students are a bit harder with no illustrations.

All answers are provided

Can be used as an introduction to equivalent fractions, independent work packet, homework, math centers, and even substitute material.

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Hope you and your students enjoy using this resource!

In the classroom

Teaching tips & learning objectives

Learning objectives

  • Generate equivalent fractions by multiplying or dividing the numerator and denominator by the same number.

  • Verify whether two fractions are equivalent using cross-multiplication.

  • Apply equivalent-fraction reasoning to check the correctness of a worked example.

Teaching tips

  • Teach the cross-multiplication check shown on the example page before assigning the 'equivalent teacher' homework-checking worksheet.

  • Use the riddle-answer worksheet as a self-checking activity, since a wrong equivalent fraction produces a nonsense answer to the joke.

  • Have students explain in words why multiplying numerator and denominator by the same number preserves value, using the example page's language.

Skills covered

  • Equivalent fraction generation — students multiply or divide numerator and denominator by the same factor to find equivalents.

  • Cross-multiplication verification — students confirm whether two fractions are equivalent by cross-multiplying.

  • Visual fraction modeling — students use pictured fraction bars to identify and write equivalent fractions.

Good to know

Questions teachers ask about this resource

How does the riddle worksheet let students check their own equivalent-fraction answers?

Each correct equivalent fraction is matched to a letter, and stringing the letters together in order spells out the answer to the printed riddle, so a wrong fraction produces a nonsense word instead of the joke's punchline.

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Curriculum

Standards, concepts & topics

Standards

  • 4.NF.A.1 — Explain why a fraction a/b is equivalent to a fraction (n × a)/(n × b) by using visual fraction models, with attention to how the number and size of the parts differ even though the two fractions themselves are the same size. Use this principle to recognize and generate equivalent fractions.

Core concepts

  • equivalent fractions

  • fractions

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