Question

Has the number 93/420 terminating decimal expansion or non-terminating repeating decimal expansion?give reason

Answer 1

Express the denominator in the form of prime factorization in 2 and 5.

420 = 2^2 x 3 x 5 x 7

Here along with 2 and 5 , the prime numbers 5 and 7 also come .

We know that denominators that are expressed only in 2 and 5 have terminating decimal expansion.

Since the denominator doesn't have so it has non terminating decimal expansion.

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