Respuesta :

Answer:

6.2 miles per hour

Explanation:

Marlon ran 8 1/4 miles in 4/3 of an hour.

So, we first need to transform the mixed number 8 1/4 into a fraction using the following equation:

[tex]\begin{gathered} A\frac{b}{c}=\frac{A\cdot c+b}{c} \\ 8\frac{1}{4}=\frac{8\cdot4+1}{4}=\frac{32+1}{4}=\frac{33}{4} \end{gathered}[/tex]

Then, we need to divide 33/4 miles by 4/3 hour as:

[tex]\begin{gathered} \frac{\frac{a}{b}}{\frac{c}{d}}=\frac{a\cdot d}{b\cdot c} \\ \frac{\frac{33}{4}}{\frac{4}{3}}=\frac{33\cdot3}{4\cdot4}=\frac{99}{16}=6.2\text{ miles per hour} \end{gathered}[/tex]

So, Marlon ran 6.2 miles per hour.