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?

Divide 3/4 by 1/8
[tex]\frac{3}{4}\colon\frac{1}{8}=\frac{3\cdot8}{4\cdot1}=6[/tex]To divide a fraction
a/b : c/d
First way
[tex]\frac{a}{b}\colon\frac{c}{d}=\frac{ad}{bc}[/tex]Multiply in cross
second way
a/b : c/d
multiply fraction a/b by the reciprocal of c/d
[tex]\frac{a}{b}\colon\frac{c}{d}=\frac{a}{b}\cdot\frac{d}{c}=\frac{a\cdot d}{b\cdot c}[/tex]