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Section 7.4 · Number

Dividing fractions

Divide fractions by whole numbers and by fractions, using the reciprocal.

6 teaching slides 46 practice questions Worked answers for every question

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2 · Key words

reciprocalThe fraction turned upside down; a number times its reciprocal is 1.
divideAsk how many of one amount fit into another.
invertTurn a fraction upside down.

3 · Summary of the sectionrevise from this

  • The reciprocal of a fraction is that fraction upside down. The reciprocal of 3/5 is 5/3.
  • A number times its reciprocal is 1.
  • To divide by a fraction, multiply by its reciprocal: keep, flip, multiply.
  • Dividing by a fraction less than 1 makes the answer bigger — you are asking how many small pieces fit in.
  • Dividing by a whole number n is the same as multiplying by 1/n.
  • A whole number is a fraction over 1, so the reciprocal of 4 is 1/4.
  • For mixed numbers, convert to improper fractions before dividing.
  • Check by size: 6 ÷ 1/2 must be more than 6, because halves are small.
PDFPrintable worksheet All 46 questions, space to work PDFWorked answers Full solutions, not just the answer

Video lessons1 videos

Math Antics - Dividing Fractions

American mathantics

Keep, flip, multiply, with the reasoning behind the flip.

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4 · Practice46 questions, easiest first

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7.3 Multiplying fractions
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7.5 Making fraction calculations easier