Answer :

97.4 repeating is a rational number

A rational number is any number that can be expressed as a fraction, where both the numerator and denominator are integers.

Repeating decimals can always be expressed as fractions.

Express 97.4 repeating as a fraction:

Let x = 97.444...

Multiply both sides by 10:

10x = 974.444...

Subtract the original equation from the multiplied equation:

9x = 964.5

x = 964.5 / 9

x = 1609 / 165

97.4 repeating can be expressed as the fraction 1609/165