Adding and Subtracting Fractions Word Problems

4th Grade MathFractions and Decimals4 pages

About this worksheet

Word problems on adding and subtracting like-denominator fractions for 4th grade, aligned to Common Core 4.NF.3.a, 4.NF.3.c and 4.NF.3.d. The stories stay concrete: Maya and Liam eat 2/8 and 3/8 of the same pizza, a soccer team drains 6/10 gallon of lemonade from a 9/10-gallon pitcher, Caleb hikes 1 3/6 miles then 2 2/6 more, and Marcus discovers he is short of flour, which forces regrouping across a whole. The closing challenge maps a class garden planted in twelfths and asks what is left for sunflowers. Answers included.

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Curriculum objectives covered

4.NF.3.a

Understand addition and subtraction of fractions as joining and separating parts referring to the same whole.

Section 1: the pizza slices join and the lemonade separates, both against one stated whole.

4.NF.3.c

Add and subtract mixed numbers with like denominators, e.g., by replacing each mixed number with an equivalent fraction, and/or by using properties of operations and the relationship between addition and subtraction.

All three Section 2 problems, with the Marcus flour subtraction requiring a regrouped whole.

4.NF.3.d

Solve word problems involving addition and subtraction of fractions referring to the same whole and having like denominators, e.g., by using visual fraction models and equations to represent the problem.

Every item is a word problem with like denominators; Section 3 adds the required fraction-bar model.

What's inside this worksheet

Section 1: Visual Stories

The pizza problem joins 2/8 and 3/8 of the same whole; the lemonade problem takes 6/10 gallon away from 9/10. Both ask for an equation before the answer.

Section 2: Mixed Numbers on the Move

Caleb's hike adds 1 3/6 + 2 2/6. Sofia's strawberries subtract 2 1/5 from 4 4/5. Marcus needs 3 1/4 cups of flour with only 1 3/4 in the pantry, and a printed tip suggests decomposing one whole into 4/4 first.

Section 3: Model and Solve Challenge

The class plot holds carrots in 2/12, corn in 5/12 and tomatoes in 3/12. Students total the planted fraction, then draw a fraction bar to prove how much of the garden goes to sunflowers.

How teachers use it

Launch problem

Project the garden challenge and let table groups argue over the sunflower fraction before anyone computes. The 2/12 + 5/12 + 3/12 total falls out of the argument.

Scaffolded release

Section 1 with the class, Section 2 in pairs, Section 3 alone. The Marcus flour problem is where you circulate.

Homework swap

Send Section 2 home and keep Section 3 for class, since the bar-model drawing benefits from your eyes on it.

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