Answer:
[tex]Part = \frac{19}{20}[/tex]
[tex]Lessons = 23[/tex]
Step-by-step explanation:
Given:
[tex]Dancing\ Lessons = 24[/tex]
[tex]April = \frac{3}{4}[/tex]
[tex]May = \frac{1}{5}[/tex]
Required:
Determine the part she took
To solve this, we simply add up the part she took in April and May.
[tex]Part = \frac{3}{4} + \frac{1}{5}[/tex]
Take LCM
[tex]Part = \frac{15 + 4}{20}[/tex]
[tex]Part = \frac{19}{20}[/tex]
Hence, she took [tex]\frac{19}{20}[/tex] of the dancing lesson.
However, to calculate the number of lesson.
We have to multiply [tex]\frac{19}{20}[/tex] by the total dancing lessons.
[tex]Lessons = \frac{19}{20} * 24[/tex]
[tex]Lessons = \frac{19* 24}{20}[/tex]
[tex]Lessons = \frac{456}{20}[/tex]
[tex]Lessons = 22.8[/tex]
[tex]Lessons = 23[/tex] ---- Approximated
