Fresh market is making $22 and 1/2 lb of trail mix 1/3 of the mix will be raisins and 1/5 of them mix will be m&M's candy and the remainder of the mix will be nuts how many pounds of the nuts are needed for the trail mix Express the answer as a fraction in simplest form

To find the weight of the nuts needed for the trail mix, we need to subtract the weight of the raisins and M&M's from the total weight of the mix.

The weight of the raisins is 1/3 of the trail mix which is (1/3) * (22 and 1/2) = 7 and 1/2 pounds.

The weight of the M&M's is 1/5 of the trail mix which is (1/5) * (22 and 1/2) = 4 and 1/2 pounds.

Now, let's subtract the weight of the raisins and M&M's from the total weight of the mix.
22 and 1/2 - 7 and 1/2 - 4 and 1/2 = (22 - 7 - 4) + (1/2 - 1/2 - 1/2)
= 11 + 0 = 11 pounds.

Therefore, the weight of the nuts needed for the trail mix is 11 pounds.

Expressed as a fraction in simplest form, the answer is 11/1.