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Section 7.3 · Number

Multiplying fractions

Multiply fractions by fractions and by whole numbers, and find a fraction of a quantity.

6 teaching slides 46 practice questions Worked answers for every question

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2 · Key words

productThe result of a multiplication.
ofIn fraction work, “of” means multiply.
cancelDivide a numerator and a denominator by a common factor before multiplying.
squareMultiply a number by itself.

3 · Summary of the sectionrevise from this

  • To multiply fractions: multiply the numerators, multiply the denominators.
  • No common denominator is needed — that step belongs to adding and subtracting.
  • The word of means multiply: 1/2 of 3/4 is 1/2 × 3/4.
  • Multiplying by a fraction less than 1 makes a number smaller. That is not a mistake.
  • Cancel first where you can — it keeps the numbers small and the simplifying easy.
  • To multiply by a whole number, divide by the denominator then multiply by the numerator: 3/4 × 8 = 8 ÷ 4 × 3 = 6.
  • For mixed numbers, convert to improper fractions before multiplying.
  • Check by size: 3/4 of 8 must be less than 8 but more than half of it.
PDFPrintable worksheet All 46 questions, space to work PDFWorked answers Full solutions, not just the answer

Video lessons1 videos

Math Antics - Multiplying Fractions

American mathantics

Multiply the tops, multiply the bottoms — and the picture that shows why.

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4 · Practice46 questions, easiest first

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7.2 Adding and subtracting fractions
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7.4 Dividing fractions