Question

on Friday, 1/6 of band practice was spent trying on uniforms. The band spent 1/4 of practice on marching, the remaining practice time was spent playing music. what fraction of the time was spent playing music?

Answer 1

Answer: $\frac{7}{12}$

Step-by-step explanation:

Let the total time of band practice be 't'.

Then, Practice spent by band on uniforms =$\frac{1}{6}t$

Practice spent by band on marching =$\frac{1}{4}t$

Then the remaining time=$t-\frac{1}{6}t-\frac{1}{4}t$

⇒ The remaining time =$\frac{12t-2t-3t}{12}$

⇒ The remaining time =$\frac{7t}{12}$

Thus,  $\frac{7}{12}$ of time was spent on playing music.

Answer 2

7/12 because 1/4 = 6/24 and 1/6 = 4/24 and if u add them you get 10/24 which leaves 14/24 which simplifies to 7/12