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

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Answer 1 · 2016-11-30T18:29:24

$40/90 = 4/9$

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:

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

How do you simplify the fraction 40/9040/90?