How do you find the quotient of 3/8 divided by 8/9?

1 Answer
Sep 26, 2015

The answer is #27/64#.

Explanation:

Dividing by a fraction means to multiply for the inverse of that fraction. In formulas, dividing by #a/b# means tu multiply for #b/a#. In this case, thus,

#3/8 : 8/9 = 3/8 * 9/8#

Since you multiply fractions by multiplying separately numerators and denominator, the final result is

# 3/8 * 9/8 = {3*9}/{8*8} = 27/64#