Question

How do you evaluate `2\frac { 3} { 6} \div 2\frac { 4} { 5}`?

Answer 1

`25/28`

Explanation:

First we need to rewrite the mixed numbers as improper fractions.

`2 3/6 divide 2 4/5 = 15/6 divide 14/5`

When dividing by a fraction it is the same as multiplying by its reciprocal.

`15/6 * 5/14 = 45/84`

We can now simplify by finding the common factors.

`(3*25)/(3*28) = (cancel3*25)/(cancel3*28) = 25/28`