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

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To find the part of the budget left for decorations and snacks, we need to subtract the portions needed for the DJ and chaperones from the total budget.

The portion needed for the DJ is 3/5 of the budget.
The portion needed for the chaperones is 1/4 of the budget.

To subtract fractions, we need a common denominator. The least common denominator for 5 and 4 is 20.

Converting 3/5 to twentieths: (3/5) * (4/4) = 12/20
Converting 1/4 to twentieths: (1/4) * (5/5) = 5/20

Now we can subtract the portions from the total budget:
Total budget - (DJ portion + Chaperones portion) = Remaining portion

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

Calculating the subtraction:
1 - 17/20 = (20/20) - (17/20) = 3/20

The part of the budget left to pay for decorations and snacks is 3/20.
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