Answer: To evaluate the expression 8 7/8 + (7 5/6−2 1/3), you need to start by performing the operation inside the parentheses. The expression inside the parentheses is 7 5/6−2 1/3, which can be rewritten as:
7 + 5/6 - 2 - 1/3
Explanation: To add and subtract these fractions, you need to express them with a common denominator. One way to do this is to use a denominator of 6. To express 5/6 with a denominator of 6, you can rewrite it as 5/6 * 1/1 = 5/6. To express 1/3 with a denominator of 6, you can rewrite it as 1/3 * 2/2 = 2/6. When you use these fractions in the expression, you get:
7 + 5/6 - 2 - 2/6
= 7 + 5/6 - 4/6
= 7 - (-1/6)
= 7 + 1/6
= 7 1/6
Now that you have simplified the expression inside the parentheses, you can add 8 7/8 to it:
8 7/8 + (7 1/6)
= 8 + 7/8 + 7 + 1/6
= 15 + 8/8 + 1/6
= 15 + 1 + 1/6
= 16 + 1/6
= 16 1/6
So the final value of the expression is 16 1/6. This fraction is already in simplest form, since the numerator and denominator are relatively prime (i.e., have no common factors other than 1).