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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?

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michaeljaroh

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

JeanaShupp

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.

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