Question

36/45 in simplest form

Answer 1

Given:

`(36)/(45)`

To express this fraction in simplest form, divide both the denominator and numerator by their highest common factor.

Factors of 36 = 1, 2, 3, 4, 6, 9, 12, 18, and 36

Factors of 45 = 1, 3, 5, 9, 15, and 45

Common factors of 36 and 45 = 1, 3, and 9

The highest common factor is 9.

Divide both numerator and denominator by 9:

`(36/9)/(45/9)\text{ = }(4)/(5)`

ANSWER:

`(4)/(5)`