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 point)
Responses
17/20 of the budget
Start Fraction 17 over 20 End Fraction of the budget
49 of the budget
Start Fraction 4 over 9 End Fraction of the budget
5/9 of the budget
Start Fraction 5 over 9 End Fraction of the budget
3/20 of the budget
To find the part of the budget that is left for decorations and snacks, you need to subtract the portions used for the DJ and chaperones from the whole budget.
The portion used for the DJ is 3/5 of the budget.
The portion used for the chaperones is 1/4 of the budget.
To find the remaining portion, you subtract the sum of the DJ and chaperones portions from the whole budget:
1 - (3/5 + 1/4)
Find a common denominator for 5 and 4, which is 20:
1 - (12/20 + 5/20)
1 - (17/20)
This means that 17/20 of the budget is used for the DJ and chaperones, leaving 3/20 of the budget for decorations and snacks.