Question

on a farm, 4 1/2 out of every 15 acres of land are used to grow crops. Wheat is grown on 5/8 of the land used to grow crops. What percentage of the total area of the land on the farm is used to grow wheat?

Answer 1

If you would like to know the percentage of the total area of the land on the farm that is used to grow wheat, you can calculate this using the following steps:

4 1/2 = 9/2 acres out of every 15 acres of land (to grow crops)

wheat: 5/8 of the land used to grow crops: 
5/8 of 9/2 acres = 5/8 * 9/2 = 45/16 = 2 13/16 acres

2 13/16 acres is x% of 15 acres
2 13/16 = x% * 15
45/16 = x/100 * 15    /*100
45/16 * 100 = x * 15
x * 15 = 4500/16     /15
x = 4500/16 / 15/1
x = 4500/16 * 1/15
x = 75/4 = 18.75%

The correct result would be 18.75%.