Question

How do you simplify the fraction `40/90`?

Answer 1

`40/90 = 4/9`

Explanation:

Find the greatest common divisor of the numerator and denominator:

`40=2^3*5`
`90=2*3^2*5`

The greatest common divisor is the product of commn factos with the lowest exponent:

`GCD = 2*5 = 10`

Then divide the numerator and denominator by the GCD:

`40/90 = frac (40/10) (90/10) = 4/9`