Please help me im so confused 3/10 of the members of a tennis club are men. 5/6 of these men are right handed. work out the fraction of members of the tennis club who are right handed

Explanation:

Let's say there are 60 members at the club. I picked this value since 10*6 = 60, which is the product of the denominators. This will help give us whole numbers in the steps shown below. You can pick any number you want for the club size.

Since we have 60 members and 3/10 of them are men, this means (3/10)*60 = 18.

So there are 18 men at this club.

Next, we're told that 5/6 of the men are right handed. So (5/6)*18 = 15 men are right handed.

Lastly, we divide that last result (15) over the total number of club members (60) and we end up with 15/60 = (1*15)/(4*15) = 1/4

Therefore, 1/4 of the members are men who are right handed.

Unfortunately, we don't have enough data to be able to say anything about what fraction of the women are right handed.

Note that:

(3/10)*(5/6) = (3*5)/(10*6) = 15/60 = 1/4

which is an alternative pathway to the solution.