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Recurring Decimals to Fractions

Recurring Decimals to Fractions

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Question 20

x x\,x is an integer such that 1≤x≤91 \leq x \leq 91≤x≤9

a.

Let y=0.0˙x˙y = 0.\dot{0}\dot{x}y=0.0˙x˙

Write down an expression for 100y100y100y.

[1]
b.

Hence prove that 0.0˙x˙=x99\displaystyle 0.\dot{0}\dot{x} = \frac{x}{99}0.0˙x˙=99x​

[1]
Markscheme

Recurring Decimals to Fractions Questions

  1. GCSE
  2. /Maths
  3. /Recurring Decimals to Fractions

203 exam-style questions on Eduqas GCSE Maths Recurring Decimals to Fractions. Each one has a worked solution and a mark scheme showing where the marks go.

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