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Recurring Decimals to Fractions

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Question 54

$x\,$ is an integer such that $\leq x \leq 9\,$

Prove that $0.0˙x˙=x99\displaystyle 0.\dot{0}\dot{x} = \frac{x}{99}$

Hence, find the value of $0.0˙3˙+0.0˙6˙0.\dot{0}\dot{3} + 0.\dot{0}\dot{6}$ , giving your answer in its simplest form.

[4]

Markscheme

Recurring Decimals to Fractions Questions

GCSE
Maths
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.

Recurring Decimals to Fractions

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Recurring Decimals to Fractions

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Question 54

$x\,$ is an integer such that $\leq x \leq 9\,$

Prove that $0.0˙x˙=x99\displaystyle 0.\dot{0}\dot{x} = \frac{x}{99}$

Hence, find the value of $0.0˙3˙+0.0˙6˙0.\dot{0}\dot{3} + 0.\dot{0}\dot{6}$ , giving your answer in its simplest form.

[4]

Markscheme

Recurring Decimals to Fractions Questions

GCSE
Maths
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.