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?

Respuesta :

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

Answer: [tex]\frac{7}{12}[/tex]


Step-by-step explanation:

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

Then, Practice spent by band on uniforms =[tex]\frac{1}{6}t[/tex]

Practice spent by band on marching =[tex]\frac{1}{4}t[/tex]

Then the remaining time=[tex]t-\frac{1}{6}t-\frac{1}{4}t[/tex]

⇒ The remaining time =[tex]\frac{12t-2t-3t}{12}[/tex]

⇒ The remaining time =[tex]\frac{7t}{12}[/tex]

Thus,  [tex]\frac{7}{12}[/tex] of time was spent on playing music.

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