Multiplying and dividing fractions. Game on.

Multiplying and dividing fractions is a grade 6 math skill aligned to Common Core standard 6.NS.A.1: interpret and compute quotients of fractions, and solve word problems involving division of fractions by fractions. Below are 8 practice questions with answers and step-by-step explanations, drawn from the 112 multiplying and dividing fractions problems our math games drill.

CCSS 6.NS.A.1112 questions in the bank
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Warm-upeasy

What is 39÷58\dfrac{3}{9} \div \dfrac{5}{8}?

Multiply by the reciprocal: 39×85=2445=815\dfrac{3}{9} \times \dfrac{8}{5} = \dfrac{24}{45} = \dfrac{8}{15}.

Mid-gameeasy

What is 36×37\dfrac{3}{6} \times \dfrac{3}{7}?

Multiply across: 3×36×7=942=314\dfrac{3 \times 3}{6 \times 7} = \dfrac{9}{42} = \dfrac{3}{14}.

Mid-gameeasy

What is 34÷23\dfrac{3}{4} \div \dfrac{2}{3}?

Multiply by the reciprocal: 34×32=98=98\dfrac{3}{4} \times \dfrac{3}{2} = \dfrac{9}{8} = \dfrac{9}{8}.

Mid-gameeasy

What is 36×67\dfrac{3}{6} \times \dfrac{6}{7}?

Multiply across: 3×66×7=1842=37\dfrac{3 \times 6}{6 \times 7} = \dfrac{18}{42} = \dfrac{3}{7}.

Mid-gameeasy

What is 37÷37\dfrac{3}{7} \div \dfrac{3}{7}?

Multiply by the reciprocal: 37×73=2121=11\dfrac{3}{7} \times \dfrac{7}{3} = \dfrac{21}{21} = \dfrac{1}{1}.

Mid-gameeasy

What is 35×16\dfrac{3}{5} \times \dfrac{1}{6}?

Multiply across: 3×15×6=330=110\dfrac{3 \times 1}{5 \times 6} = \dfrac{3}{30} = \dfrac{1}{10}.

Mid-gameeasy

What is 56÷35\dfrac{5}{6} \div \dfrac{3}{5}?

Multiply by the reciprocal: 56×53=2518=2518\dfrac{5}{6} \times \dfrac{5}{3} = \dfrac{25}{18} = \dfrac{25}{18}.

Buzzer beatereasy

What is 36×58\dfrac{3}{6} \times \dfrac{5}{8}?

Multiply across: 3×56×8=1548=516\dfrac{3 \times 5}{6 \times 8} = \dfrac{15}{48} = \dfrac{5}{16}.

Overtime

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