Equivalent Fractions on the Number Line – Grade 3

Paired number lines, each divided into a different number of equal parts between 0 and 1, ask pupils to mark the equivalent fraction on the second line to match the fraction already shown.
Grades
Grade 3
File type
PDF
Preparation
Print ready

Updated Oct 19, 2023

Subject
Fractions, Math
Topic
Fractions, Number Line
Resource types
Worksheets
Preparation
Print ready

From the author

About this resource

Fractions that have the same value, called  Equivalent Fractions, can be found at the same point on the number line and is an ideal visual introduction into this topic. 
These printable Worksheets consist of questions containing 2 number lines between 0 and 1. Each number line is divided into a different number of equal parts which students then have to compare and determine the numerical value of the fraction or fractions.  

Worksheet Set 1: One fraction is shown. Students write down the equivalent fraction to the one shown taking into account the number of equal parts on the line.

Worksheet Set 2: Two equivalent fractions are indicated on a number line. Students have to write down the numerical value of each fraction taking into account how each number line has been divided.

How many worksheets are there ?

Lots. At the click of a button all numbers are randomised, allowing you to create as many different worksheets as your students need for classwork, homework, revision, preparing for assessment, fillers etc., and the numbers will change every time.

Answers are on the second page of every worksheet, automatically generated when you create a new worksheet.

Note
These resources are PDF documents and work with the official  Adobe Acrobat Reader on Windows or Mac computers with the randomising buttons also working via a touchscreen (PC or Mac)or on an Interactive Whiteboard.

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In the classroom

Teaching tips & learning objectives

Learning objectives

  • Mark the point on a number line that represents a fraction equivalent to one already shown, on a line divided into a different number of equal parts

  • Recognize that two fractions with different denominators can represent the same point on a number line

  • Write two equivalent fractions read from a pair of parallel number lines, each divided into a different number of equal parts

Teaching tips

  • Use the button feature described in the guide to generate a new randomized set of questions each time a fresh worksheet is needed

  • Print the included answers page alongside the worksheet to check completed work

  • Choose between the two worksheet formats described in the guide -- completing one line to match a given fraction, or reading two equivalent fractions from parallel lines -- to vary how equivalence is practiced. Check individual fraction positions with this fractions on a number line worksheet.

Skills covered

  • Equivalent-fraction identification -- pupils locate a fraction's matching point on a second number line split into a different number of equal parts.

  • Number-line partitioning -- pupils read a whole divided into differing denominators (for example thirds versus sixths) to place a fraction correctly.

  • Fraction-pair comparison -- in the second worksheet format, pupils read and record two equivalent fractions from parallel number lines.

Good to know

Questions teachers ask about this resource

How does the worksheet stay different each time it's printed?

An included guide explains that clicking the buttons at the bottom of the worksheet regenerates a new randomized set of equivalent-fraction questions.

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