gary is 8 3/4 years old his brother is 3 7/12 years younger than he is how many years old is garys brother

Answer 1

To find out how many years old Gary's brother is, we need to subtract the difference in age between them from Gary's age.

First, let's convert Gary's age to a mixed number. 8 3/4 can be written as (8 × 4 + 3)/4 = 35/4.

Next, let's convert his brother's age difference to a mixed number. 3 7/12 can be written as (3 × 12 + 7)/12 = 43/12.

Now, let's subtract the age difference from Gary's age: 35/4 - 43/12 = (35/4) * (3/3) - 43/12 = 105/12 - 43/12 = 62/12.

Simplifying the fraction 62/12, we get 5 and 2/12, which can be further simplified to 5 and 1/6.

Therefore, Gary's brother is 5 1/6 years old.