Gary is 8 3/4 years old. His brother is 3 7/12 years younger than he is. How many years old is Gary’s brother?
To find out how old Gary's brother is, we need to subtract the age difference from Gary's age.
First, convert the mixed numbers to improper fractions:
Gary's age: 8 + 3/4 = 8*4/4 + 3/4 = 32/4 + 3/4 = 35/4.
Gary's brother's age: 3 + 7/12 = 3*12/12 + 7/12 = 36/12 + 7/12 = 43/12.
Next, find the age difference:
35/4 - 43/12 = (35*3)/(4*3) - 43/12 = 105/12 - 43/12 = 62/12 = 5 2/12 = 5 + 1/6.
Gary's brother is 5 1/6 years old. Answer: \boxed{5\frac{1}{6}}.