Question

One lap around the school track is 5/8 of a mile Carin ran 3 1/2 laps how far did she run

Answer 1

Given length of a lap = 5/8 mile.

Number of laps Carin ran = 3 1/2 laps.

3 1/2 can be read as 3 and a half. In improper fractions, it can be written as

(3*2+1)/2 = 7/2 laps.

In order to find the total distance covered in 3 1/2 or 7/2 laps, we need to multiply length of a lap by total number of laps ran.

Therefore, total distance covered = 7/2 × 5/8.

=$\frac{7}{2}\times\frac{5}{8}$

Multiplying across, we get

= $\frac{7\times5}{2\times8}$

=$\frac{35}{16}$

Let us convert 35/16 into mixed fractions.

On dividing 35 by 16, we get 2 quotient and 3 remainder.

So, the mixed fraction would be 2 3/16.

Therefore, she ran 2 3/16 miles in 3 1/2 laps.