Question

One lap around the school track is 5/8 mile.Carin ran 3 1/2 laps.How far did she run?

Answer 1

carin ran 2 3/16miles

Answer 2

we know that

`1` lap around the school track is
`5/8` mile

so

by proportion

Find how many miles corresponds to
`3(1)/(2)` laps

`3(1)/(2)\ laps=(3*2+1)/(2) =(7)/(2)\ laps`

`((5/8))/(1) (miles)/(lap)= (x)/((7/2)) (miles)/(lap)\\ \\x=(5)/(8)*(7)/(2)\\ \\ x=(35)/(16)\ miles\\ \\x=2(3)/(16)\ miles`

therefore

the answer is

`2(3)/(16)\ miles`