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?

1 answer
Question:

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?

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]

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