Question

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

Answer 1

Answer:

Rational number

Step-by-step explanation:

Given

$Digit = 0.71875$

Required

Determine if it is rational or not

$Digit = 0.71875$

Convert to fraction

$Digit = \frac{71875}{100000}$

Divide numerator and denominator by 25

$Digit = \frac{2875}{4000}$

Divide numerator and denominator by 25

$Digit = \frac{115}{160}$

Divide numerator and denominator by 5

$Digit = \frac{23}{32}$

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