5th Grade Fractions as Division Worksheet Solutions (PDF)

A fraction bar means division, so \(1 \div 2 = \frac{1}{2}\).

\(\frac{1}{2}\)

A fraction bar means division, so \(3 \div 5 = \frac{3}{5}\).

\(\frac{3}{5}\)

The numerator is divided by the denominator.

\(\frac{4}{9} = 4 \div 9\)

4 shared equally among 9 people gives each person \(\frac{4}{9}\).

A fraction bar means division, so \(7 \div 8 = \frac{7}{8}\).

\(\frac{7}{8}\)

Division problem: \(2 \div 3\).

A fraction bar means division, so \(2 \div 3 = \frac{2}{3}\).

\(\frac{2}{3}\)

Each friend gets \(\frac{2}{3}\) of a sandwich.

A fraction bar means division, so \(5 \div 4 = \frac{5}{4}\).

4 goes into 5 exactly 1 times with 1 left over. The 1 left over is split into 4 equal parts, which is \(\frac{1}{4}\) of a whole.

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

\(1\frac{1}{4}\)

A fraction bar means division, so \(9 \div 2 = \frac{9}{2}\).

2 goes into 9 exactly 4 times with 1 left over. The 1 left over is split into 2 equal parts, which is \(\frac{1}{2}\) of a whole.

\(\frac{9}{2} = 4\frac{1}{2}\).

\(4\frac{1}{2}\)

A fraction bar means division, so \(11 \div 3 = \frac{11}{3}\).

3 goes into 11 exactly 3 times with 2 left over. The 2 left over is split into 3 equal parts, which is \(\frac{2}{3}\) of a whole.

\(\frac{11}{3} = 3\frac{2}{3}\).

\(3\frac{2}{3}\)

A fraction bar means division, so \(13 \div 5 = \frac{13}{5}\).

5 goes into 13 exactly 2 times with 3 left over. The 3 left over is split into 5 equal parts, which is \(\frac{3}{5}\) of a whole.

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

\(2\frac{3}{5}\)

A fraction bar means division, so \(17 \div 6 = \frac{17}{6}\).

6 goes into 17 exactly 2 times with 5 left over. The 5 left over is split into 6 equal parts, which is \(\frac{5}{6}\) of a whole.

\(\frac{17}{6} = 2\frac{5}{6}\).

\(2\frac{5}{6}\)

The quotient is between 2 and 3.

\(7 \div 4 = \frac{7}{4} = 1\frac{3}{4}\).

\(9 \div 6 = \frac{9}{6} = 1\frac{3}{6} = 1\frac{1}{2}\).

Compare \(1\frac{3}{4}\) and \(1\frac{1}{2}\): \(\frac{3}{4} > \frac{1}{2}\).

\(7 \div 4\) is greater.

The fraction \(\frac{3}{5}\) means \(3 \div 5\).

The missing number is \(3\).

A fraction bar means division, so \(8 \div 12 = \frac{8}{12}\).

Simplify by dividing the top and bottom by 4: \(\frac{8}{12} = \frac{2}{3}\).

\(\frac{2}{3}\)

A fraction bar means division, so \(15 \div 6 = \frac{15}{6}\).

6 goes into 15 exactly 2 times with 3 left over. The 3 left over is split into 6 equal parts, which is \(\frac{3}{6}\) of a whole.

\(\frac{15}{6} = 2\frac{3}{6}\).

Simplify: \(2\frac{3}{6} = 2\frac{1}{2}\).

\(2\frac{1}{2}\)

A fraction bar means division, so \(4 \div 5 = \frac{4}{5}\).

\(\frac{4}{5}\)

Each friend gets \(\frac{4}{5}\) pound.

A fraction bar means division, so \(3 \div 8 = \frac{3}{8}\).

\(\frac{3}{8}\)

Each player gets one slice from each pizza, so each player gets 3 slices out of 8.

Each player gets \(\frac{3}{8}\) of a pizza.

A fraction bar means division, so \(17 \div 4 = \frac{17}{4}\).

4 goes into 17 exactly 4 times with 1 left over. The 1 left over is split into 4 equal parts, which is \(\frac{1}{4}\) of a whole.

\(\frac{17}{4} = 4\frac{1}{4}\).

\(4\frac{1}{4}\)

Each piece is \(4\frac{1}{4}\) feet long.

A fraction bar means division, so \(25 \div 6 = \frac{25}{6}\).

6 goes into 25 exactly 4 times with 1 left over. The 1 left over is split into 6 equal parts, which is \(\frac{1}{6}\) of a whole.

\(\frac{25}{6} = 4\frac{1}{6}\).

\(4\frac{1}{6}\)

\(4\frac{1}{6}\) is between 4 and 5.

Each bag holds \(4\frac{1}{6}\) pounds, and yes, that is between 4 and 5 pounds.

A fraction bar means division, so \(9 \div 12 = \frac{9}{12}\).

Simplify by dividing the top and bottom by 3: \(\frac{9}{12} = \frac{3}{4}\).

\(\frac{3}{4}\)

Each small cup gets \(\frac{3}{4}\) cup of juice.

First find each group’s share.

A fraction bar means division, so \(22 \div 8 = \frac{22}{8}\).

8 goes into 22 exactly 2 times with 6 left over. The 6 left over is split into 8 equal parts, which is \(\frac{6}{8}\) of a whole.

\(\frac{22}{8} = 2\frac{6}{8}\).

Simplify: \(2\frac{6}{8} = 2\frac{3}{4}\).

\(2\frac{3}{4}\)

Now subtract what was used: \(2\frac{3}{4} – 1\frac{1}{4} = 1\frac{2}{4} = 1\frac{1}{2}\).

Each group has \(1\frac{1}{2}\) pounds of clay left.