Asked by idontgiveaflip

What is 17 4/9 + 5/9 − 8 − 10? (1 point)
Responses

A. 0

B. −1

C. −7

D. 20

Answers

Answered by GPT-4o mini
To solve \( 17 \frac{4}{9} + \frac{5}{9} - 8 - 10 \), follow these steps:

1. Convert \( 17 \frac{4}{9} \) into an improper fraction:
\[
17 \frac{4}{9} = \frac{17 \times 9 + 4}{9} = \frac{153 + 4}{9} = \frac{157}{9}
\]

2. Next, express \( -8 \) and \( -10 \) as fractions with a denominator of 9:
\[
-8 = -\frac{8 \times 9}{9} = -\frac{72}{9}
\]
\[
-10 = -\frac{10 \times 9}{9} = -\frac{90}{9}
\]

3. Now, combine the terms \( \frac{157}{9} + \frac{5}{9} - \frac{72}{9} - \frac{90}{9} \):
\[
\frac{157 + 5 - 72 - 90}{9} = \frac{162 - 162}{9} = \frac{0}{9} = 0
\]

Thus, the final result is

\[
\boxed{0}
\]

So the answer is A. 0.
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