# On Friday, 1 6 of band practice was spent trying on uniforms. The band spent 1 8 of practice on marching. The remaining practice time was spent playing music. What fraction of practice time was spent playing music?

###### Question:

1

6

of band practice was spent trying on uniforms. The band spent

1

8

of practice on marching. The remaining practice time was spent playing music.

What fraction of practice time was spent playing music?

## Answers

Answer:[tex]\frac{17}{24}[/tex]Step-by-step explanation:First, you have to make all of the fractions have a common denominator. You can find the LCM (least common multiple) of 6 and 8.6, 12, 18, 24 . . .8, 16, 24 . . .Their LCM is 24.So now, change the fractions: 1 4---- = ----- 6 24Remember, whatever you multiply the bottom by to get to 24 is what you multiply the top number by. You have the make sure the fractions are equivalent. 1 3---- = ----- 8 24Remember, whatever you multiply the bottom by to get to 24 is what you multiply the top number by. You have the make sure the fractions are equivalent.So if we have 1 band practice, we know that24 1---- = ---- = 124 1So the fraction of practice time spent playing music is:[tex]\frac{24}{24}-\frac{3}{24} -\frac{4}{24}=\frac{17}{24}[/tex]