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.

Answer 1

Question is Incomplete, Complete Question is given below.

A piano teacher has 4 1/2 hours available to teach in a night each lesson the last 1 1/2 hours how many lessons can the teacher schedule in a night.

Answer:

The Piano teacher can teach 3 lessons in night.

Step-by-step explanation:

Given:

Number of Hours Available = $4\frac{1}{2} \ hrs$

$4\frac{1}{2} \ hrs$ can be Rewritten as  $\frac{9}{2} \ hrs$

Number of hours for Each Lessons = $1\frac{1}{2} \ hrs$

$1\frac{1}{2} \ hrs$ can be Rewritten as  $\frac{3}{2} \ hrs$

We need to find Number of lesson that can be scheduled for night.

Number of lesson scheduled for night can be calculated by dividing number of hours available in night with number of hours each lesson would required.

Framing above sentence in equation form we get;

Number of lesson scheduled for night = $\frac{\textrm{Number of Hours Available}}{\textrm{Number of hours for Each Lessons}}$

Substituting the values we get;

Number of lesson scheduled for night = $\frac{\frac{9}{2}}{\frac{3}{2}} = \frac{9\times2}{3\times2}=\frac{18}{6} =3$

Hence The Piano teacher can teach 3 lessons in night.