ratios as reduced fractions.

Question

The ratio of adults to children is 400 to 150.

Answer 1

Find the greatest common factor of 400 and 150

Factor 400 = 4 * 10 * 10 = 2 * 2 * 2 * 5 * 2 * 5 = 2^4 * 5^2

Factor 150 = 15 * 10 = 5 * 3 * 2 * 5 = 2 * 3 * 5^2

Compute product of smallest exponents of factors they have in common:

GCF = 2 * 5^2 = 50

Divide top and bottom by of 400/150 by 50 - gives you 8/3