is it rational or irrational and explain please

Question

is this rational or irrational 7/8

Answer 1

A number is rational if it can be expressed as the quotient of two integers.

Are 7 and 8 integers?

Are 7 and 8 expressed as a quotient (in a division)?

Answer 2

Rational----it is the quotient of 2 integers.

Note that 7/8 is precise. By contrast, something like pi or e has only a decimal value that goes on forever. Since they cannot be represented as the quotient of integers, they are irrational.

A rational fraction can also have a decimal form that goes on forever, but the fractional form is exact.

In decimal form, 2/3 is -06666666666....repeating forever. But, if you multiply by 3/4, you get 1/2, which is exact. Therefor each part must also be exact.