5th Grade Fractions as Division Quiz: 10 Questions with Explanations

A \(\frac{5}{2}\) pansB \(\frac{1}{5}\) of a panC \(\frac{2}{7}\) of a panD \(\frac{2}{5}\) of a pan

2 pans shared by 5 kids is 2 divided by 5, which is 2/5. Switching the numbers gives 5/2, which is greater than 1.

A \(\frac{6}{5}\)B \(\frac{5}{6}\)C \(\frac{1}{6}\)D \(\frac{5}{11}\)

The number being divided is the numerator, so 5 divided by 6 is 5/6.

A \(3 \div 8\)B \(8 \div 3\)C \(3 \times 8\)D \(8 – 3\)

A fraction bar means division: the numerator is divided by the denominator.

A \(2\frac{4}{9}\)B \(2\frac{1}{4}\)C \(1\frac{1}{4}\)D \(4\frac{1}{2}\)

9 divided by 4 is 2 with remainder 1, so the mixed number is 2 1/4. Putting the divisor over the remainder gives the wrong fraction.

A \(4 \div 7\)B \(3 \div 4\)C \(7 \div 4\)D \(7 \times 4\)

The point is 7 fourths from 0, so it is 7/4 = 7 divided by 4. It lies between 1 and 2.

A \(2\frac{3}{13}\) feetB \(2\frac{2}{5}\) feetC \(\frac{5}{13}\) footD \(2\frac{3}{5}\) feet

13 divided by 5 is 2 remainder 3, so each piece is 2 3/5 feet. The remainder goes over the divisor 5.

A \(\frac{1}{4}\) poundB 4 poundsC \(\frac{1}{3}\) poundD \(\frac{3}{4}\) pound

3 divided by 12 is 3/12, which simplifies to 1/4. Dividing 12 by 3 would give 4, which is the wrong direction.

A \(7 \div 3\)B \(5 \div 2\)C \(9 \div 4\)D \(11 \div 5\)

5/2 = 2 1/2, 7/3 = 2 1/3, 9/4 = 2 1/4, and 11/5 = 2 1/5. The greatest fraction part is 1/2.

A \(5\frac{1}{3}\) feetB \(3\frac{2}{3}\) feetC \(5\frac{2}{3}\) feetD \(\frac{3}{17}\) foot

17 divided by 3 is 5 remainder 2, so each piece is 5 2/3 feet.

A \(2\frac{1}{2}\) barsB \(\frac{2}{5}\) barC \(2\frac{1}{5}\) barsD 5 bars

5 divided by 2 is 2 remainder 1, so each person gets 2 bars and half of the last bar.