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Simplification & Approximation · Question 24 of 71

Question 24

EasyOriginal question

Express 0.45‾0.\overline{45} as a fraction in its lowest terms.

Options for question 24

Show the answer and explanation
CorrectNot quiteAnswer A

Correct answer: A

Explanation

  1. Two digits repeat, so 0.45‾=45990.\overline{45} = \frac{45}{99}.

  2. Divide top and bottom by 9: 4599=511\frac{45}{99} = \frac{5}{11}.

Worth noting

920\frac{9}{20} is 0.45 exactly, which stops; 4190\frac{41}{90} is 0.45‾0.4\overline{5}, where only the 5 repeats.

Concept
Converting a pure recurring decimal to a fraction
Typical time
40 s
Your time
—
The rule this testsFractions and decimals
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Ten questions from Simplification & Approximation, at your own pace.

Practise this chapter →

Ten questions from Simplification & Approximation, at your own pace.