5th Grade Dividing Unit Fractions and Whole Numbers Quiz: 10 Questions with Explanations

A \(\frac{1}{12}\)B \(\frac{3}{4}\)C \(12\)D \(\frac{1}{7}\)

Cutting one fourth into 3 equal pieces makes twelfths, so the answer is \(\frac{1}{12}\). Multiplying \(\frac{1}{4}\) by 3 gives \(\frac{3}{4}\), a common mistake.

A \(\frac{5}{3}\)B \(15\)C \(\frac{1}{15}\)D \(8\)

Each whole has 3 thirds, so 5 wholes have \(5 \times 3 = 15\) thirds. Writing \(\frac{5}{3}\) is a common mistake.

A \(\frac{1}{4}\div2=\frac{1}{2}\)B \(2\div\frac{1}{4}=8\)C \(\frac{1}{4}\div2=\frac{1}{8}\)D \(\frac{1}{4}\div2=\frac{1}{6}\)

One fourth is cut into 2 pieces, so the whole has 8 equal pieces and each is \(\frac{1}{8}\).

A 15B 8C \(\frac{3}{5}\)D \(\frac{5}{3}\)

Each whole has 5 fifths, so 3 wholes have \(3 \times 5 = 15\) fifths.

A 2 poundsB \(\frac{1}{6}\) poundC \(\frac{1}{4}\) poundD \(\frac{1}{8}\) pound

Divide \(\frac{1}{2}\) by 4: \(2 \times 4 = 8\), so each bag holds \(\frac{1}{8}\) pound. Dividing 4 by \(\frac{1}{2}\) would give 8, a different problem.

A 3 piecesB 12 piecesC 24 piecesD \(6\frac{1}{2}\) pieces

\(6 \div \frac{1}{2} = 6 \times 2 = 12\). Each yard makes 2 pieces.

A \(4\div\frac{1}{6}\)B \(4\div\frac{1}{2}\)C \(4\div\frac{1}{3}\)D \(4\div\frac{1}{4}\)

Smaller pieces mean more pieces. \(4 \div \frac{1}{6} = 24\), which is greater than 8, 12 and 16.

A \(\frac{1}{4}\div2=\frac{1}{8}\)B \(2\div\frac{1}{4}=8\)C \(2\div\frac{1}{4}=\frac{1}{2}\)D \(2\div\frac{1}{4}=6\)

There are 4 fourths in each whole, so 2 wholes have 8 jumps of \(\frac{1}{4}\).

A \(20\)B \(\frac{1}{3}\)C \(3\)D \(30\)

Cutting \(\frac{1}{10}\) into 3 pieces gives \(\frac{1}{30}\), because \(10 \times 3 = 30\).

A \(\frac{2}{3}\)B \(\frac{1}{5}\)C \(6\)D \(\frac{1}{6}\)

\(\frac{1}{3} \div 2 = \frac{1}{6}\), because \(3 \times 2 = 6\). The answer must be less than \(\frac{1}{3}\).