Question

james runs on the school track team. he runs 4\frac{2}{3} miles in \frac{3}{4} hour. what is jamess speed in miles per hour? james’s speed in miles per hour is ?

Explanation:

Step1: Convert mixed - number to improper fraction

$4\frac{2}{3}=\frac{4\times3 + 2}{3}=\frac{14}{3}$

Step2: Use the speed formula $v=\frac{d}{t}$

Speed $v=\frac{\frac{14}{3}}{\frac{3}{4}}$

Step3: Divide by a fraction (multiply by its reciprocal)

$v=\frac{14}{3}\times\frac{4}{3}=\frac{56}{9}=6\frac{2}{9}$

Answer:

$6\frac{2}{9}$