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# Dividing fractions review

Review the basics of dividing fractions, and try some practice problems.

## Dividing fractions

Dividing fractions is the same as multiplying by the reciprocal (inverse).
For example:
start fraction, 3, divided by, 4, end fraction, start color #e07d10, divided by, end color #e07d10, start fraction, start color #11accd, 2, end color #11accd, divided by, start color #1fab54, 3, end color #1fab54, end fractionequals, start fraction, 3, divided by, 4, end fraction, start color #e07d10, times, end color #e07d10, start fraction, start color #1fab54, 3, end color #1fab54, divided by, start color #11accd, 2, end color #11accd, end fraction
Once we have a multiplication problem, we multiply the numerators then multiply the denominators.
Example 1: Fractions
start fraction, 3, divided by, 2, end fraction, divided by, start fraction, 8, divided by, 3, end fraction, equals, question mark
The reciprocal of start fraction, 8, divided by, 3, end fraction is start fraction, 3, divided by, 8, end fraction.
Therefore:
start fraction, 3, divided by, 2, end fraction, divided by, start fraction, 8, divided by, 3, end fraction, equals, start fraction, 3, divided by, 2, end fraction, times, start fraction, 3, divided by, 8, end fraction
empty space, equals, start fraction, 3, times, 3, divided by, 2, times, 8, end fraction
empty space, equals, start fraction, 9, divided by, 16, end fraction
Example 2: Mixed numbers
3, start fraction, 1, divided by, 2, end fraction, divided by, 1, start fraction, 1, divided by, 4, end fraction, equals
Let's start by converting the mixed numbers to fractions.
empty space, 3, start fraction, 1, divided by, 2, end fraction, divided by, 1, start fraction, 1, divided by, 4, end fraction
equals, start fraction, 7, divided by, 2, end fraction, divided by, start fraction, 5, divided by, 4, end fraction
equals, start fraction, 7, divided by, 2, end fraction, dot, start fraction, 4, divided by, 5, end fraction, space, space, space, space, space, space, space, start text, M, u, l, t, i, p, l, y, space, b, y, space, t, h, e, space, r, e, c, i, p, r, o, c, a, l, point, end text
equals, start fraction, 7, divided by, start color #11accd, 1, end color #11accd, start cancel, 2, end cancel, end fraction, dot, start fraction, start color #11accd, 2, end color #11accd, start cancel, 4, end cancel, divided by, 5, end fraction, space, space, space, space, space, space, space, start text, S, i, m, p, l, i, f, y, point, end text
equals, start fraction, 7, divided by, start color #11accd, 1, end color #11accd, end fraction, dot, start fraction, start color #11accd, 2, end color #11accd, divided by, 5, end fraction
equals, start fraction, 14, divided by, 5, end fraction, start text, space, o, r, space, end text, 2, start fraction, 4, divided by, 5, end fraction