Question

The nature of a rational number to give a recurring decimal fraction is
a) prime factors of the denominator is 2 and 5 only
b) prime factors of the denominator is other than 2and 5
c) prime factors of the denominator is 2,5 and any other prime number
d) prime factors of the denominator is 2,5 and any other prime number in its p/q form, where p and q are co prime ​

Answer 1

Numbers with a repeating pattern of decimals are rational because when you put them into fractional form, both the numerator a and denominator b become non-fractional whole numbers. This is because the repeating part of this decimal no longer appears as a decimal in rational number form.

option d is correct answer