IF I GET 2/7 SHARE OF THE PROFIT AND THE BAND GETS 1/5, WHAT FRACTION OF THE AMOUNT GOES TO CHARITY?

Question

According to your contract, you are going to get 2/7 of the profit of the charity concert you are organizing and 1/5 goes to the bands who performed. The rest goes to charity. What fraction of the amount goes to charity ?

Answer 1

2/7 + 1/5 = ??

Lowest common denominator is 35

 

(2/7)(5/5) + (1/5)(7/7) =

10/35 + 7/35

= 17/35

 

If 17/35 of the total is for you and the bands then the remainder is

35/35 - 17/35 = 18/35 to go to charity