Back to Exercise: Solve word problems involving addition and subtraction of fractions

Exercises: Word Problems with Fraction Addition and Subtraction

Work through each section in order. For word problems, always estimate before you
compute, and check that your final answer is reasonable.

Grade 5·22 problems·~30 min·Common Core Math - Grade 5·standard·5-nf-a-2

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Recall / Warm-Up

These problems review skills from earlier lessons.

Compute $\frac{2}{3} + \frac{3}{4}$ . Express your answer as a mixed number in simplest form.

Which fraction is greater: $\frac{3}{5}$ or $\frac{1}{2}$ ?

$\frac{3}{5}$

$\frac{1}{2}$

They are equal

Cannot be determined

A pitcher has $\frac{5}{8}$ cup of juice. Another pitcher has $\frac{2}{8}$ cup of juice. How much juice is there in total?

Fluency Practice

Which benchmark fraction is $\frac{5}{8}$ closest to: $\frac{1}{2}$ , $\frac{2}{3}$ , $\frac{3}{4}$ , or $1$ ?

$\frac{1}{2}$

$\frac{2}{3}$

$\frac{3}{4}$

$1$

Which benchmark fraction is $\frac{1}{6}$ closest to: $0$ , $\frac{1}{4}$ , $\frac{1}{3}$ , or $\frac{1}{2}$ ?

$0$

$\frac{1}{4}$

$\frac{1}{3}$

$\frac{1}{2}$

Using benchmark fractions, what is the best estimate for $\frac{3}{8} + \frac{5}{6}$ ?

about $\frac{1}{2}$

about $1$

about $1\frac{1}{2}$

about $2$

A painter mixes $\frac{2}{3}$ gallon of blue paint with $\frac{1}{4}$ gallon of white paint. Complete the equation for the total amount of paint: ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ + ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ = total gallons

Jake had $\frac{5}{6}$ gallon of paint. He used $\frac{1}{4}$ gallon painting a fence. Complete the equation for how much paint is left: ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ - ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ = amount left

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