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Skills Covered

  • Add fractions with like denominators by joining parts of the same whole
  • Subtract fractions on number lines, and subtract a fraction from a whole number
  • Add and subtract mixed numbers, trading 1 whole when needed
  • Check that an answer makes sense with the benchmarks 0, 1/4, 1/2, 3/4, and 1
  • Write sums and differences in simplest form
  • Solve story problems and line plot questions with an equation

How to Use This Pack

Five pages on adding and subtracting fractions that have the same denominator. Page 1 joins parts of one whole on fraction strips (1/5 + 3/5 is 4 fifths), then adds two and three fractions. Page 2 subtracts by jumping back on number lines, then subtracts a fraction from 1 or 2 by writing the whole number as a fraction first (1 − 3/8 = 8/8 − 3/8). Page 3 adds and subtracts mixed numbers in columns, trading 1 whole for 5 fifths when the fractions need it, and also by writing them as fractions first. Page 4 checks other students' answers with the benchmarks 0, 1/4, 1/2, 3/4, and 1 (7/10 + 9/10 cannot be 16/20, because the sum is about 1 3/4), then adds and subtracts and writes each answer in simplest form. Page 5 makes a line plot of caterpillar lengths in eighths of an inch and answers questions from it, then solves story problems with an equation.

In the Classroom

Before page 1, fold a paper strip into fifths and shade 1 part, then 3 more: the parts are still fifths, so only the number of parts changes. On page 2, have students say the jumps out loud: "seven eighths, six eighths, five eighths." Before page 3, show 6 1/3 as 5 4/3 with fraction pieces, so trading a whole makes sense.

At Home

Measure things around the house to the nearest eighth of an inch, then ask how much longer one is than another. In the kitchen, ask how much flour is left in a 1-cup measure after 3/8 cup is used.

Tips for Success

  • With the same denominator, the parts are the same size: add or subtract the numerators and keep the denominator
  • To take a fraction from a whole number, write the whole number as a fraction first: 1 = 8/8
  • Trade 1 whole for more parts when the top fraction is too small to subtract
  • Estimate with 0, 1/4, 1/2, 3/4, and 1: the answer should be close to the estimate
  • To simplify, divide the numerator and the denominator by the same number

Common Core Standards Alignment

This pack supports the following Common Core State Standards for Mathematics:

  • 4.NF.B.3a Understand adding and subtracting fractions as joining and taking away parts of the same whole.
  • 4.NF.B.3c Add and subtract mixed numbers with the same denominator, for example by changing them to fractions or by using properties of operations.
  • 4.NF.B.3d Solve story problems that add or subtract fractions of the same whole with like denominators, using fraction models and equations.
  • 4.MD.B.4 Make a line plot of measurements in halves, quarters and eighths, and use it to solve problems that add and subtract fractions.

© Copyright 2010. National Governors Association Center for Best Practices and Council of Chief State School Officers. All rights reserved.

Adding and Subtracting Fractions

4th Grade

A 5-page fractions pack for 4th grade, all with like denominators. Join parts of one whole on fraction strips, subtract by jumping back on number lines, take a fraction away from 1 or 2, and add and subtract mixed numbers, trading a whole when needed. Check answers with the benchmarks 0, 1/4, 1/2, 3/4, and 1, write answers in simplest form, make a line plot of eighths, and solve story problems with an equation. Every page comes in color and in black and white. Answer keys included.

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What’s Included

  • 5 worksheets in color and in black and white, with answer keys (15 pages)
  • Fraction strips for adding, number lines for subtracting, and subtracting from 1 or 2
  • Mixed numbers with trading, benchmark checks, and simplest form
  • A line plot of eighths and story problems with equations
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This worksheet is free to download, print, copy, and hand out in your classroom or at home. You do not need to create an account, and there are no watermarks on the PDF.