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4MA1/2FR Jun 2023, Question 5: Rational Numbers

Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 2FR (Foundation) · Calculator · 3 marks

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The question, in short

From a list of five fractions, identify the one with a non-terminating decimal, find two equivalent fractions, and convert 7/10 to a decimal.

Summarised in our own words. Use the official paper for the exact wording and any diagrams.

Part (a) · 1 mark

Identify which fraction from the list gives a non-terminating decimal when converted.

  1. 1Check which fraction has a denominator with prime factors not just 2 or 5.
  2. 22/3: denominator 3 has prime factor 3, so it does not terminate.
  3. 3Therefore, 2/3 is the only non-terminating decimal.

Answer2/3

Part (b) · 1 mark

State the two fractions in the list that are equal in value.

  1. 1Simplify each fraction.
  2. 24/5 = 0.8
  3. 312/15 = 4/5 = 0.8
  4. 4So 4/5 and 12/15 are equivalent.

Answer4/5 and 12/15

Part (c) · 1 mark

Express the fraction 7/10 in decimal form.

  1. 1Divide 7 by 10.
  2. 27 ÷ 10 = 0.7

Answer0.7

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