Carlos can throw a ball 14 yards. Raul can throw 3/7 of that distance. Is Raul's throw longer or shorter than 14 yards?

I think it is longer by 32 2/3 yards.

Is this correct?

Nope.

No, your calculation is not correct. Let's break down the problem step by step:

Carlos can throw a ball 14 yards.
Raul can throw 3/7 of that distance.

To find out the distance Raul can throw, we need to calculate 3/7 of 14 yards:

(3/7) * 14 = (3 * 14) / 7 = 42/7 = 6 yards.

So, Raul can throw 6 yards, which is shorter than 14 yards, not longer.

Therefore, Raul's throw is shorter than 14 yards.