The student council at Sugartown Middle School is planning a school dance. 3/5 of the budget is needed for the DJ, and 1/4 of the budget is needed to pay for the chaperones. What part of the budget is left to pay for decorations and snacks? Express your answer in simplest form.

1 answer

The fraction of the budget needed for the DJ is 3/5 and the fraction of the budget needed for the chaperones is 1/4. The fraction of the budget left for decorations and snacks can be found by subtracting these fractions from 1.

1 - 3/5 - 1/4

To find a common denominator, we multiply the first fraction by 4/4 and the second fraction by 5/5:

1 - (3/5)(4/4) - (1/4)(5/5)
= 1 - 12/20 - 5/20

Now we can subtract the fractions:

1 - 12/20 - 5/20
= (20/20) - (17/20)
= 3/20

Therefore, there is 3/20 of the budget left to pay for decorations and snacks.