Question

1. an object is traveling at a steady speed of 8\frac{2}{3} miles per hour. how long will it take the object to travel 5\frac{1}{5} miles?

Explanation:

Step1: Convert mixed - numbers to improper fractions

$8\frac{2}{3}=\frac{8\times3 + 2}{3}=\frac{26}{3}$; $5\frac{1}{5}=\frac{5\times5+1}{5}=\frac{26}{5}$

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

The time $t$ (where $t$ is time, $d$ is distance, and $v$ is speed) is given by $t=\frac{d}{v}$. Substitute $d = \frac{26}{5}$ miles and $v=\frac{26}{3}$ miles per hour into the formula: $t=\frac{\frac{26}{5}}{\frac{26}{3}}$.

Step3: Simplify the division of fractions

$\frac{\frac{26}{5}}{\frac{26}{3}}=\frac{26}{5}\times\frac{3}{26}=\frac{3}{5}$ hours

Answer:

$\frac{3}{5}$ hours