Question

a rotating object makes $\frac{5}{6}$ of a revolution in $\frac{7}{10}$ second. find the approximate speed in revolutions per second. write your answer as a decimal to the nearest hundredth. show your work.

Explanation:

Step1: Set up speed ratio

Speed = $\frac{\text{Revolutions}}{\text{Time}} = \frac{\frac{5}{6}}{\frac{7}{10}}$

Step2: Divide by multiplying reciprocal

$\frac{5}{6} \times \frac{10}{7} = \frac{50}{42}$

Step3: Simplify and convert to decimal

$\frac{50}{42} \approx 1.190476$

Step4: Round to nearest hundredth

Round 1.190476 to two decimal places

Answer:

1.19 revolutions per second