Adding and Subtracting Fractions: math practice, Grade 4

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Math practice Grade 4 : Adding and Subtracting Fractions — Zyro the alien explorer of Planète Maths

21 problems graded by difficulty (★ easy, ★★ medium, ★★★ hard). Try first, without looking at the solutions!

1 Unit fractions ★★★

a) Write \(\dfrac{5}{8}\) as a sum of unit fractions.

b) Write \(\dfrac{5}{8}\) as the sum of two fractions in two different ways.

2 Adding like fractions ★★★

Add.

a) \(\dfrac{3}{10}+\dfrac{4}{10}\) b) \(\dfrac{2}{9}+\dfrac{5}{9}\) c) \(\dfrac{1}{6}+\dfrac{4}{6}\) d) \(\dfrac{5}{12}+\dfrac{3}{12}\)

3 Subtracting like fractions ★★★

Subtract.

a) \(\dfrac{7}{8}-\dfrac{3}{8}\) b) \(\dfrac{9}{10}-\dfrac{6}{10}\) c) \(\dfrac{5}{6}-\dfrac{1}{6}\) d) \(\dfrac{11}{12}-\dfrac{4}{12}\)

4 Improper fractions to mixed numbers ★★★

Write each fraction as a mixed number.

a) \(\dfrac{7}{4}\) b) \(\dfrac{11}{5}\) c) \(\dfrac{9}{2}\) d) \(\dfrac{10}{3}\)

5 Mixed numbers to improper fractions ★★★

Write each mixed number as an improper fraction.

a) \(1\dfrac{2}{3}\) b) \(2\dfrac{1}{4}\) c) \(3\dfrac{3}{5}\) d) \(2\dfrac{5}{6}\)

6 Pizza party ★★★

Maya ate \(\dfrac{2}{8}\) of a pizza and Ben ate \(\dfrac{3}{8}\) of the same pizza.

a) What fraction of the pizza did they eat in all?

b) What fraction of the pizza is left?

7 True or false? ★★★

Say whether each statement is true or false. Justify your answer.

a) \(\dfrac{3}{5}+\dfrac{2}{5}=\dfrac{5}{10}\)

b) \(\dfrac{4}{7}=\dfrac{1}{7}+\dfrac{1}{7}+\dfrac{1}{7}+\dfrac{1}{7}\)

c) \(\dfrac{6}{6}=1\)

8 Missing numbers ★★★

Find the missing number.

a) \(\dfrac{\ ?\ }{9}+\dfrac{4}{9}=\dfrac{8}{9}\) b) \(\dfrac{11}{12}-\dfrac{\ ?\ }{12}=\dfrac{5}{12}\) c) \(\dfrac{3}{7}+\dfrac{\ ?\ }{7}=1\) d) \(1-\dfrac{3}{8}=\dfrac{\ ?\ }{8}\)

9 Adding mixed numbers ★★★

Add.

a) \(2\dfrac{1}{5}+1\dfrac{2}{5}\) b) \(3\dfrac{3}{8}+2\dfrac{4}{8}\) c) \(1\dfrac{5}{6}+2\dfrac{3}{6}\) d) \(4\dfrac{7}{10}+1\dfrac{6}{10}\)

10 Subtracting mixed numbers ★★★

Subtract.

a) \(5\dfrac{6}{7}-2\dfrac{2}{7}\) b) \(4\dfrac{5}{9}-1\dfrac{3}{9}\) c) \(6-2\dfrac{1}{4}\) d) \(5\dfrac{1}{5}-2\dfrac{3}{5}\)

11 Whole number times a fraction ★★★

Multiply. Write each answer as a fraction and, when possible, as a mixed number or a whole number.

a) \(3\times\dfrac{2}{5}\) b) \(4\times\dfrac{3}{8}\) c) \(5\times\dfrac{1}{6}\) d) \(6\times\dfrac{2}{3}\)

12 Flour for cookies ★★★

One batch of cookies needs \(\dfrac{3}{4}\) cup of flour. How much flour is needed for 3 batches?

13 A day on the trail ★★★

A hiker walked \(2\dfrac{3}{10}\) miles in the morning and \(1\dfrac{8}{10}\) miles in the afternoon. How many miles did the hiker walk that day?

14 Find the mistake ★★★

Sam wrote \(\dfrac{4}{9}+\dfrac{3}{9}=\dfrac{7}{18}\).

a) Explain Sam’s mistake.

b) Give the correct answer.

15 Many ways to break up a number ★★★

a) Write \(2\dfrac{3}{4}\) as the sum of a whole number and a fraction.

b) Write \(2\dfrac{3}{4}\) as a sum of two fractions that both have denominator 4, in two different ways.

c) Write \(2\dfrac{3}{4}\) as a whole number times \(\dfrac{1}{4}\).

16 The rain barrel ★★★

A rain barrel held \(8\dfrac{1}{4}\) gallons. Dad used \(2\dfrac{3}{4}\) gallons on the flowers and \(1\dfrac{2}{4}\) gallons to wash the car.

a) How many gallons did he use in all?

b) How many gallons are left in the barrel?

17 Shelves ★★★

A carpenter builds 7 shelves. Each shelf needs a board that is \(\dfrac{3}{4}\) yard long. The carpenter has a 6-yard plank.

a) How many yards of board are needed?

b) Is the plank long enough? How much is left over or missing?

18 Who ran farther? ★★★

Dana ran \(\dfrac{3}{5}\) mile every day for 4 days. Eli ran \(2\dfrac{4}{5}\) miles during the same 4 days.

Who ran farther, and by how much?

19 Reading a number line ★★★

The points A, B and C are marked on the number line.

a) Read the position of each point as a mixed number and as an improper fraction.

b) How far is A from B? How far is B from C?

20 Mystery number ★★★

I am a mixed number between 3 and 4. My fraction part has denominator 6. If you subtract \(1\dfrac{5}{6}\) from me, you get \(1\dfrac{4}{6}\). What number am I?