What is 17 4/9+5/9-8-10

1 answer

To solve the expression 17 4/9 + 5/9 - 8 - 10, we need to follow the order of operations (PEMDAS/BODMAS) which states: parentheses/brackets, exponents/orders, multiplication/division, addition/subtraction.

First, let's combine the whole number and the fraction:
17 4/9 = (17 × 9 + 4) / 9 = 153/9

Now let's simplify the expression:
153/9 + 5/9 - 8 - 10
= (153 + 5) / 9 - 8 - 10
= 158/9 - 8 - 10

Next, we find a common denominator in order to combine the fractions:
158/9 = (158 × 1) / 9 = 158/9

Now we can continue simplifying:
158/9 - 8 - 10
= 158/9 - (8 × 9/9) - (10 × 9/9)
= 158/9 - 72/9 - 90/9
= (158 - 72 - 90) / 9
= (158 - 162) / 9
= -4/9

Therefore, 17 4/9 + 5/9 - 8 - 10 equals -4/9.