Maths-
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 9 over 15 as a fraction.
    We know that GCF (9,15) = 3
    On simplification, we can write 9 over 15 equals 3 over 5 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 3 over 5,hence it is not repeating.
    Thus she gets, 9 over 15 = 0.6

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