Question

A piano teacher has 4\dfrac124 2 1 ​ 4, start fraction, 1, divided by, 2, end fraction hours available to teach in a night. Each lesson will last 1\dfrac121 2 1 ​ 1, start fraction, 1, divided by, 2, end fraction hours. How many lessons can the teacher schedule in a night?

Answer 1

3 lessons

Explanation:

Given

`Total\ Hours = 4(1)/(2)\ hours`

`Each = 1(1)/(2)\ hours`

Required

Determine the number of lessons

This is calculated by dividing total hours by time for each lesson.

`Lessons = 4(1)/(2)/1(1)/(2)`

Convert to improper number

`Lessons = (9)/(2)/(3)/(2)`

`Lessons = (9)/(2) * (2)/(3)`

`Lessons = (18)/(6)`

`Lessons = 3`