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General

Easy

Question

# Anu notices that has a prime factor of 3 in the denominator, so he thinks the fraction will converto a recurring decimal. However when she enters the calculator , she finds that = 0.6Can you explain anu’s mistake ?

Hint:

### Make the given fraction to the lowest form and thus find the mistake.

## The correct answer is: 0.6

### Complete step by step solution:

We have as a fraction.

We know that GCF (9,15) = 3

On simplification, we can write as the lowest form.

We know, a fraction is a repeating decimal if prime factors of the denominator of the

fractions in its lowest form do not only contain 2’s and 5’s.

Here we have 5 in the denominator of ,hence it is not repeating.

Thus she gets, = 0.6

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