6th Grade Dividing Fractions by Fractions Quiz: 10 Questions with Explanations

A \(\frac{1}{9}\)B \(\frac{5}{6}\)C \(4\)D \(\frac{1}{4}\)

Four sixths fit in two thirds. Multiplying 2/\(3 \times 1\)/\(6 = 1\)/9 is the most common mistake.

A \(\frac{4}{9}\)B \(\frac{9}{4}\)C \(-\frac{4}{9}\)D \(\frac{5}{9}\)

The reciprocal swaps the numerator and denominator.

A \(9\)B \(4\)C \(\frac{1}{9}\)D \(\frac{2}{18}\)

\(6 \times 3\)/\(2 = 9\). Using 2/3 instead of 3/2 gives 4.

A \(\frac{9}{8}\)B 8C \(\frac{1}{8}\)D 24

3 / (3/8) = \(3 \times 8\)/\(3 = 8\). The product \(3 \times 3\)/\(8 = 9\)/8 is not the number of pizzas.

A \(2\frac{1}{2}\)B \(\frac{5}{18}\)C \(\frac{2}{5}\)D \(2\)

5/\(6 \times 3 = 15\)/\(6 = 5\)/\(2 = 2\) 1/2.

A 6B 3C 12D \(3\frac{3}{8}\)

9/\(2 \times 4\)/\(3 = 36\)/\(6 = 6\). 3 3/8 is the product, not the quotient.

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

Width = (2/3) / (1/3) = 2. The product 2/9 is the wrong operation.

A \(\frac{1}{2}\)B \(\frac{49}{128}\)C \(1\)D \(2\)

7/\(8 \times 16\)/\(7 = 2\). The numerators match, so compare 8ths: 14 sixteenths divided by 7 sixteenths is 2.

A \(1\frac{11}{16}\)B \(3\)C \(\frac{1}{3}\)D \(2\)

9/\(4 \times 4\)/\(3 = 3\).

A 2B 3C 12D 4

2/\(3 \div 1\)/\(6 = 2\)/\(3 \times 6 = 4\).