To add or subtract fractions with different denominators, follow these steps:
Step 1: Find a common denominator.
The denominators in this case are 9 and 1. The common denominator is 9.
Step 2: Adjust the fractions.
17 4/9 already has a denominator of 9.
5/9 already has a denominator of 9.
10 needs to be rewritten with a denominator of 9.
10 can be written as 90/9 by multiplying the numerator and denominator by 9.
So, the expression becomes:
17 4/9 + 5/9 - 90/9
Step 3: Combine the whole numbers and fractions separately.
The whole numbers are 17 and 0 (since 10 is subtracted).
17 + 0 = 17.
For the fractions, add the numerators and keep the denominator the same:
4 + 5 = 9.
So, the expression becomes:
17 + 9/9 - 90/9
Step 4: Simplify the expression.
The fractions have the same denominator, so we can subtract their numerators directly:
9/9 - 90/9 = -81/9.
So, the simplified expression is:
17 - 81/9.
Step 5: Further simplify the expression, if possible.
To simplify, we can divide the numerator and denominator by their greatest common divisor (GCD), which is 9:
17/1 - 81/9 = 17/1 - 9/1 = 8/1.
So, the final answer is 8.