4th Grade Adding and Subtracting Fractions and Mixed Numbers Worksheet Solutions (PDF)

4th Grade math worksheet solutions: Adding and Subtracting Fractions and Mixed Numbers – Maths PDF

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This grade 4 add subtract fractions answers for 4th Grade covers adding and subtracting fractions and mixed numbers (Common Core 4.NF.B.3a, 4.NF.B.3b, 4.NF.B.3c, 4.NF.B.3d), with a free PDF to print.

Use this answer key to check each problem on the adding and subtracting fractions worksheet. Every solution shows the regrouping or the conversion between mixed numbers and improper fractions, step by step.

Grade 4 · Common Core State Standards: 4.NF.B.3a, 4.NF.B.3b, 4.NF.B.3c, 4.NF.B.3d

Grade 4 add subtract fractions answers: exercises 1 to 10

Exercise 1 – Add eighths

Add the numerators and keep the denominator: \(2 + 3 = 5\).

Answer: \(\frac{5}{8}\).

Exercise 2 – Add tenths

\(4 + 5 = 9\), and the denominator stays 10.

Answer: \(\frac{9}{10}\).

Exercise 3 – Subtract twelfths

\(7 – 2 = 5\).

Answer: \(\frac{5}{12}\).

Exercise 4 – Missing numerator

The sum is 11 twelfths and one part is 5 twelfths, so subtract: \(11 – 5 = 6\).

Check: \(\frac{6}{12} + \frac{5}{12} = \frac{11}{12}\).

Answer: 6.

Exercise 5 – Unit fractions

A unit fraction has numerator 1. Three fourths is 3 pieces of \(\frac{1}{4}\).

Answer: \(\frac{3}{4} = \frac{1}{4} + \frac{1}{4} + \frac{1}{4}\).

Exercise 6 – Decompose five sixths

Split 5 into two numbers: 1 + 4 and 2 + 3.

Answer: \(\frac{5}{6} = \frac{1}{6} + \frac{4}{6}\) and \(\frac{5}{6} = \frac{2}{6} + \frac{3}{6}\).

Exercise 7 – Sum greater than 1

\(5 + 6 = 11\), so the sum is \(\frac{11}{8}\).

\(11 \div 8 = 1\) remainder 3, so \(\frac{11}{8}\) = \(1\frac{3}{8}\).

Answer: \(1\frac{3}{8}\).

Exercise 8 – Mixed number to fraction

\(2 = \frac{6}{3}\), so \(\frac{6}{3} + \frac{1}{3} = \frac{7}{3}\).

Seven thirds in all.

Answer: \(\frac{7}{3}\).

Exercise 9 – Fraction to mixed number

\(11 \div 4 = 2\) remainder 3.

Answer: \(2\frac{3}{4}\).

Exercise 10 – Add mixed numbers

Wholes: \(3 + 2 = 5\). Fractions: \(\frac{1}{10} + \frac{6}{10} = \frac{7}{10}\).

Answer: \(5\frac{7}{10}\).

Exercises 11 and up

Exercise 11 – Regroup after adding

Wholes: \(3 + 1 = 4\). Fractions: \(\frac{5}{6} + \frac{4}{6} = \frac{9}{6} = 1\frac{3}{6}\).

\(4 + 1\frac{3}{6} = 5\frac{3}{6}\).

Answer: \(5\frac{3}{6}\).

Exercise 12 – Subtract mixed numbers

Wholes: \(4 – 2 = 2\). Fractions: \(\frac{7}{8} – \frac{3}{8} = \frac{4}{8}\).

Answer: \(2\frac{4}{8}\).

Exercise 13 – Subtract with regrouping

\(7\frac{2}{6} = \frac{44}{6}\) and \(3\frac{5}{6} = \frac{23}{6}\).

\(\frac{44}{6} – \frac{23}{6} = \frac{21}{6} = 3\frac{3}{6}\).

Answer: \(3\frac{3}{6}\).

Exercise 14 – Whole minus mixed

\(6 = \frac{30}{5}\) and \(2\frac{3}{5} = \frac{13}{5}\).

\(\frac{30}{5} – \frac{13}{5} = \frac{17}{5} = 3\frac{2}{5}\).

Answer: \(3\frac{2}{5}\).

Exercise 15 – Weekend runs

\(\frac{3}{8} + \frac{4}{8} = \frac{7}{8}\).

The total is \(\frac{7}{8}\) mile.

Answer: \(\frac{7}{8}\) mile.

Exercise 16 – Pizza left

The whole pizza is \(\frac{12}{12}\). \(\frac{12}{12} – \frac{5}{12} = \frac{7}{12}\).

Answer: \(\frac{7}{12}\) of the pizza.

Exercise 17 – Two boards

Wholes: \(2 + 1 = 3\). Fractions: \(\frac{3}{10} + \frac{8}{10} = \frac{11}{10} = 1\frac{1}{10}\).

\(3 + 1\frac{1}{10} = 4\frac{1}{10}\).

Answer: \(4\frac{1}{10}\) feet.

Exercise 18 – Flour left

\(4\frac{1}{3} = \frac{13}{3}\) and \(1\frac{2}{3} = \frac{5}{3}\).

\(\frac{13}{3} – \frac{5}{3} = \frac{8}{3} = 2\frac{2}{3}\).

The missing part is 2 \(\frac{2}{3}\) cups.

Answer: \(2\frac{2}{3}\) cups.

Exercise 19 – Ethan's walk

Wholes: \(1 + 2 + 1 = 4\). Fractions: \(\frac{1}{4} + \frac{2}{4} + \frac{3}{4} = \frac{6}{4} = 1\frac{2}{4}\).

\(4 + 1\frac{2}{4} = 5\frac{2}{4}\).

Answer: \(5\frac{2}{4}\) miles.

Exercise 20 – Ribbon

Used: wholes \(1 + 2 = 3\), fractions \(\frac{3}{8} + \frac{4}{8} = \frac{7}{8}\), so \(3\frac{7}{8}\) yards.

Left: \(5 = \frac{40}{8}\) and \(3\frac{7}{8} = \frac{31}{8}\), so \(\frac{40}{8} – \frac{31}{8} = \frac{9}{8} = 1\frac{1}{8}\).

The ribbon that is left is 1 \(\frac{1}{8}\) yards.

Answer: \(1\frac{1}{8}\) yards.

Key facts behind this grade 4 add subtract fractions answers

Key facts

With like denominators, add or subtract the numerators and keep the denominator.
A fraction can be decomposed in more than one way, such as 5/6 = 2/6 + 3/6.
A mixed number such as 2 1/4 equals the improper fraction 9/4.
To add mixed numbers, add the wholes and the fractions, then regroup when the fraction is greater than 1.
To subtract mixed numbers, change them to improper fractions first.

How to use this grade 4 add subtract fractions answers

Cover each solution, solve the exercise again, then uncover it and compare every line. If your answer differs, find the first step that changed and redo the exercise from there.

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