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

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.

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

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

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

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.

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

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

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

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

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