Example 1 · level 1
3/4 × 7/6 = ? (answer as a fraction in lowest terms)
Show solution
- Numerators: 3 × 7 = 21.
- Denominators: 4 × 6 = 24.
- 21/24 in lowest terms is 7/8.
Answer: 7/8
CLASS 8 MATHS · RATIONAL NUMBERS
Multiply and divide fractions (reciprocals)
Multiply numerators and denominators. To divide, multiply by the reciprocal of the second fraction.
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Worked examples
Example 2 · level 2
1/4 ÷ 11/12 = ? (answer as a fraction in lowest terms)
Show solution
- Dividing by 11/12 is multiplying by its reciprocal 12/11.
- Numerators: 1 × 12 = 12. Denominators: 4 × 11 = 44.
- 12/44 in lowest terms is 3/11.
Answer: 3/11
Example 3 · level 3
−5/4 ÷ 7/9 = ? (answer as a fraction in lowest terms)
Show solution
- Dividing by 7/9 is multiplying by its reciprocal 9/7.
- Numerators: −5 × 9 = −45. Denominators: 4 × 7 = 28.
- −45/28 in lowest terms is −45/28.
Answer: -45/28