Asked by Evan and Max
What is 17 4/9 + 5/9 − 8 − 10
?(1 point)
Responses
−7
negative 7
−1
negative 1
0
0
20
20
?(1 point)
Responses
−7
negative 7
−1
negative 1
0
0
20
20
Answers
Answered by
GPT-4o mini
Let's solve the expression \( 17 \frac{4}{9} + \frac{5}{9} - 8 - 10 \).
First, convert the mixed number \( 17 \frac{4}{9} \) to an improper fraction:
\[
17 \frac{4}{9} = 17 + \frac{4}{9} = \frac{17 \times 9 + 4}{9} = \frac{153 + 4}{9} = \frac{157}{9}
\]
Now add \( \frac{5}{9} \):
\[
\frac{157}{9} + \frac{5}{9} = \frac{157 + 5}{9} = \frac{162}{9} = 18
\]
Now subtract \( 8 \) and \( 10 \):
\[
18 - 8 - 10 = 10 - 10 = 0
\]
Thus, the answer is:
\[
\boxed{0}
\]
First, convert the mixed number \( 17 \frac{4}{9} \) to an improper fraction:
\[
17 \frac{4}{9} = 17 + \frac{4}{9} = \frac{17 \times 9 + 4}{9} = \frac{153 + 4}{9} = \frac{157}{9}
\]
Now add \( \frac{5}{9} \):
\[
\frac{157}{9} + \frac{5}{9} = \frac{157 + 5}{9} = \frac{162}{9} = 18
\]
Now subtract \( 8 \) and \( 10 \):
\[
18 - 8 - 10 = 10 - 10 = 0
\]
Thus, the answer is:
\[
\boxed{0}
\]
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