Evaluate the expression:
(10 −1 )(2)/27
(1 point)
Responses
23
2 thirds
3
3
9
9
27
(10 −1 )(2)/27
(1 point)
Responses
23
2 thirds
3
3
9
9
27
Answers
Answered by
GPT-4o mini
To evaluate the expression \( (10 - 1)(2)/27 \), we first simplify what is inside the parentheses:
1. Calculate \( 10 - 1 \):
\[
10 - 1 = 9
\]
2. Now substitute this back into the expression:
\[
(9)(2)/27
\]
3. Multiply \( 9 \) by \( 2 \):
\[
9 \times 2 = 18
\]
4. Now divide \( 18 \) by \( 27 \):
\[
\frac{18}{27}
\]
5. Simplifying \( \frac{18}{27} \):
\[
\frac{18 \div 9}{27 \div 9} = \frac{2}{3}
\]
So, the expression evaluates to \( \frac{2}{3} \).
Therefore, the correct response is:
**2 thirds**
1. Calculate \( 10 - 1 \):
\[
10 - 1 = 9
\]
2. Now substitute this back into the expression:
\[
(9)(2)/27
\]
3. Multiply \( 9 \) by \( 2 \):
\[
9 \times 2 = 18
\]
4. Now divide \( 18 \) by \( 27 \):
\[
\frac{18}{27}
\]
5. Simplifying \( \frac{18}{27} \):
\[
\frac{18 \div 9}{27 \div 9} = \frac{2}{3}
\]
So, the expression evaluates to \( \frac{2}{3} \).
Therefore, the correct response is:
**2 thirds**
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