Question

Samantha is running a 3/4- mile sprint. She will check her time after each 1/8- mile. How many times will she have checked her time, including her final time, when she finishes her training?

Answer 1

Divide 3/4 by 1/8

`(3)/(4)\colon(1)/(8)=(3\cdot8)/(4\cdot1)=6`

the answer is 6

To divide a fraction

example

a/b : c/d

First way

`(a)/(b)\colon(c)/(d)=(ad)/(bc)`

Multiply in cross

second way

a/b : c/d

multiply fraction a/b by the reciprocal of c/d

`(a)/(b)\colon(c)/(d)=(a)/(b)\cdot(d)/(c)=(a\cdot d)/(b\cdot c)`