Question

Determine if 0.71875 is rational or irrational and give a reason for your answer.

Answer 1

Rational number

Explanation:

Given

`Digit = 0.71875`

Required

Determine if it is rational or not

`Digit = 0.71875`

Convert to fraction

`Digit = (71875)/(100000)`

Divide numerator and denominator by 25

`Digit = (2875)/(4000)`

Divide numerator and denominator by 25

`Digit = (115)/(160)`

Divide numerator and denominator by 5

`Digit = (23)/(32)`

The above is a rational number because it can be expressed as a fraction of two integers