in a boy's school, 5/8 of the boys play football and 4/7 play rugby.if every boy plays at least one of the two games, find the fraction of the boys who play both

Answer 1

Since the fraction of boys who play the games cannot exceed 1, so
4/7+5/8-1 is the fraction who plays both games.

5/8+4/7 - 1 =(35+32-56)/56 =(67-56)/56=11/56

Answer 2

Thanks for easy solution.