Question

A fraction p/q can be expressed as a terminating decimal, if q has no prime factors other than

a)2,3
b) 2,5
c) 3,5
d) 5,3

Explain how?

Answer 1

Option (b) is correct
To have a terminating decimal expansion prime factors of the denominator should be 2 or 5 or both

Answer 2

Answer:

Option (b) is correct.

A fraction $\frac{p}{q}$ can be expressed as a terminating decimal, if q has no prime factors other than 2 and 5.

Step-by-step explanation:

Given : A fraction $\frac{p}{q}$ can be expressed as a terminating decimal  if q has no prime factors other than.

We have to choose correct option from given options.

Terminating decimals are defined as a decimals having finite number of digits.

example 0.25 , 0.3478, etc.

By looking at a fraction we can say it is terminating or not if the denominator of fraction has no prime factor other than 2 and 5 only.

Thus,

A fraction $\frac{p}{q}$ can be expressed as a terminating decimal, if q has no prime factors other than 2 and 5.

Option (b) is correct.