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FractionsStructured · 4 marks

(a) Find the value of 78 - 16. (b) Express 6725 as a decimal.

  1. Find the value of 78 - 16.
  2. Express 6725 as a decimal.
Need a hint?

For (a), find a number both 8 and 6 divide into exactly. For (b), make the denominator 100 first.

Worked answer

  1. (a) Common denominator of 8 and 6 is 24.
  2. (a) 78 = 2124 and 16 = 424.
  3. (a) 2124 - 424 = 1724.
  4. (b) Change 725 to hundredths: 725 = 28100.
  5. (b) 28100 = 0.28, so 6725 = 6.28.
Answer: 6.28

The mistake this question tests

Habit

Calculation slip

Pupils often subtract the numerators and denominators straight across, getting 62, or they read 725 as 0.7 instead of 0.28.

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