Question

A bunch of neighborhood kids went on a hoke through the nature center. The total mileage they walked was 16 2/3 miles. If each kid contributed 4 1/6 miles to the hike, how many kids went on the hike?

Answer 1

`\large \boxed{4}`

Explanation:

`\text{No. of students} = \frac{\text{Total distance}}{\text{Distance per student}}`

`\begin{array}{rccl}16(2)/(3) /4(1)/(6)& = & (50)/(3) / (25)/(6) & \text{Mixed numbers to improper fractions}\\\\ & = & (50)/(3) * (6)/(25) & \text{Inverted 2nd fraction and changed to multiply}\\\\ & = & (2)/(3)* (6)/(1) & \text{Cancelled the 25s}\\\\ & = &(2)/(1)* (2)/(1) & \text{Cancelled the threes}\\\\ & = &\mathbf{4} & \text{Multiplied the fractions}\\\end{array}\\\large \boxed{\textbf{Four}} \text{ students went on the trip.}`