Calculating fractions in word problem

Question

Softball team divided into 4 groups. 1/2 the players are strong hitters, 1/4 are good pitchers, 1/8 like to paly the outfield, and 2 players are catchers. If each player is in only one group, how many players are on the team and how many pitchers are in each group?

 

Just need to know how to calculate the answer.

Answer 1

(1/2)+(1/4)+(1/8)=(4/8)+(2/8)+(1/8)=7/8 of the team which leaves 1/8 of the team are catchers which is 2 players

1/8 of the team consists of 2 players

1/4 of the team consists of 4 players (1/4=2/8)

1/2 of the team consists of 8 players (1/2=4/8)

8 hitters, 4 pitchers, 2 outfielders, and 2 catchers for a total of 16 players on the team