CheerMath

Grade 6 Fractions Practice

Multiply and Divide Fractions

Multiply and divide fractions! Work with whole numbers, mixed numbers, and reciprocals, and solve word problems.

Also known as Class 6 maths — the same topics, whether your school calls it grade, class or year.

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Sample questions

A few samples from this topic — try one, then show the answer.

  1. Multiply Whole Numbers by Fractions

    Find the product of 38\frac{3}{8} and 57\frac{5}{7}.
    Show answer
    Answer:
    15/56

  2. Divide Fractions and Whole Numbers by Sharing and Grouping

    Evaluate 310  ÷  12\frac{3}{10} \; \div \; \frac{1}{2}.
    Show answer
    Answer:
    3/5

  3. Divide Fractions and Whole Numbers by Sharing and Grouping

    Which expression has the same value as 34  ÷  47\frac{3}{4} \; \div \; \frac{4}{7}?
    • 34×47\frac{3}{4} \times \frac{4}{7}
    • 47×43\frac{4}{7} \times \frac{4}{3}
    • 34×74\frac{3}{4} \times \frac{7}{4}
    • 74÷34\frac{7}{4} \div \frac{3}{4}
    Show answer
    Answer:
    34×74\frac{3}{4} \times \frac{7}{4}

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A worked example

Find the product of 38\frac{3}{8} and 57\frac{5}{7}.
  1. Multiply 38  ×  57\frac{3}{8} \; \times \; \frac{5}{7}.
  2. To multiply two fractions, multiply the numerators (top numbers) together and multiply the denominators (bottom numbers) together.\\[4pt]Numerators→3  ×  5=15\to 3 \; \times \; 5 = 15 \\[4pt]Denominators→8  ×  7=56\to 8 \; \times \; 7 = 56 \\[4pt]The product is 1556\frac{15}{56}.
  3. The fraction is already in simplest form.
  4. The answer is 1556\frac{15}{56}.

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