Question

zoe jogs \\(\frac{3}{4}\\) of a mile every \\(\frac{1}{5}\\) of an hour.\
how many miles does zoe jog per hour?\
\\(\circ\\) \\(\frac{3}{20}\\) mile\
\\(\circ\\) \\(\frac{4}{15}\\) mile\
\\(\circ\\) \\(3\frac{3}{4}\\) miles\
\\(\circ\\) \\(6\frac{2}{3}\\) miles

Explanation:

Step1: Set up speed formula

Speed = $\frac{\text{Distance}}{\text{Time}}$

Step2: Substitute given values

Speed = $\frac{\frac{3}{4}}{\frac{1}{5}}$

Step3: Divide by multiplying reciprocal

Speed = $\frac{3}{4} \times 5$

Step4: Calculate final value

Speed = $\frac{15}{4} = 3\frac{3}{4}$

Answer:

$3\frac{3}{4}$ miles