Answered

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 :

MrRoyal

Answer:

3 lessons

Step-by-step explanation:

Given

[tex]Total\ Hours = 4\frac{1}{2}\ hours[/tex]

[tex]Each = 1\frac{1}{2}\ hours[/tex]

Required

Determine the number of lessons

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

[tex]Lessons = 4\frac{1}{2}/1\frac{1}{2}[/tex]

Convert to improper number

[tex]Lessons = \frac{9}{2}/\frac{3}{2}[/tex]

[tex]Lessons = \frac{9}{2} * \frac{2}{3}[/tex]

[tex]Lessons = \frac{18}{6}[/tex]

[tex]Lessons = 3[/tex]

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