Respuesta :

2/3 ------- 1/12
x ------- 1
cross multiply;
x/12=2/3
x= 2/3×12
x=8miles

Answer:

8 miles per hour.

Step-by-step explanation:

Nathan runs [tex]\frac{2}{3}[/tex] mile in each  [tex]\frac{1}{12}[/tex] hour.

We will calculate his speed in miles per hour.

Since Nathan runs  [tex]\frac{2}{3}[/tex]  miles in  [tex]\frac{1}{12}[/tex] hour

We will divide the numbers to get his speed per hour.

Nathan runs in 1 hour =  [tex]\frac{2}{3}[/tex] ÷  [tex]\frac{1}{12}[/tex]

                                    =  [tex]\frac{2}{3}[/tex] ×  [tex]\frac{12}{1}[/tex]

                                    =  [tex]\frac{24}{3}[/tex]

                                    = 8 miles

Nathan's speed is 8 miles per hour.