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Maths Gcse Wjec-Eduqas Foundation

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Exam code:C300

Multiplying fractions

How do I multiply two fractions?

  • Cancel any factors that are common to both the numerator and the denominator

    • The common factors could be in either of the fractions

    • 3 over 25 cross times 10 over 11 equals 3 over up diagonal strike 25 to the power of 5 cross times up diagonal strike 10 squared over 11 equals 3 over 5 cross times 2 over 11

  • Multiply

    • Multiply the numerators

    • Multiply the denominators

    • 3 over 5 cross times 2 over 11 equals fraction numerator 3 cross times 2 over denominator 5 cross times 11 end fraction equals 6 over 55

  • Cancel any common factors again if possible

How do I multiply two fractions if one is a mixed number?

  • Always convert mixed numbers into improper fractions before multiplying

    • Convert improper fractions back into mixed numbers at the end if required

Worked Example

Find 4 over 15 cross times 25 over 11.

The 15 and 25 can be cancelled before multiplying

<img alt=”fraction numerator 4 over denominator 3 cross times 5 end fraction cross times fraction numerator 5 cross times 5 over denominator 11 end fraction equals fraction numerator 4 over denominator 3 cross times up diagonal strike 5 end fraction cross times fraction numerator up diagonal strike 5 cross times 5 over denominator 11 end fraction equals 4 over 3 cross times 5 over 11″ data-mathml='<math ><semantics><mrow><mfrac ><mn>4</mn><mrow><mn>3</mn><mo>&#215;</mo><mn>5</mn></mrow></mfrac><mo >&#215;</mo><mfrac ><mrow><mn>5</mn><mo>&#215;</mo><mn>5</mn></mrow><mn>11</mn></mfrac><mo >=</mo><mfrac ><mn>4</mn><mrow><mn>3</mn><mo>&#215

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