Question

Without actual division,check whether 47/14 has terminating or non-terminating decimal representation.​

Answer 1

Take out prime factor of the denominator if it is 2 or 5 only then it will be terminating

Answer 2

Answer:

Step 1- convert the fraction in its lowest term

Step 2- do prime factorization of denominator

Step 3- if the factors are other than 2 or 5, it is a non terminating decimal

47/14

It is already in its lowest term.

Prime factorization of 14= 2 × 7

As one factor is other than 2 or 5, it is a non terminating decimal.

Hope you got your answer.

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