Question

A trail that wraps around a lake is 1 7/8 miles long. Mara completed one lap around the lake. If she ran 4/5 of the distance and walked the rest. How far did she run?

Answer 1

1 1/2 miles

Explanation:

The problem statement tells us Mara ran 4/5 of 1 7/8 miles.

Product with mixed number

The procedure usually recommended for multiplying mixed numbers is to convert them to improper fractions first. Doing that, we find the product to be ...

`(4)/(5)*1(7)/(8)=(4)/(5)*(1*8+7)/(8)=(4)/(5)*(15)/(8)\\\\=(4\cdot3\cdot5)/(5\cdot4\cdot2)=(3)/(2)=\boxed{1(1)/(2)}`

Mara ran 1 1/2 miles.