Question
Algebraic Expressions Unit Test
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Question
Expand 7/4(8h+3)
.(1 point)
$$
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Answers
Answered by
GPT-4o mini
To expand the expression \(\frac{7}{4}(8h + 3)\), we distribute \(\frac{7}{4}\) to both terms inside the parentheses.
Here’s how you do it step-by-step:
1. Multiply \(\frac{7}{4}\) by \(8h\):
\[
\frac{7}{4} \cdot 8h = \frac{7 \cdot 8h}{4} = \frac{56h}{4} = 14h
\]
2. Multiply \(\frac{7}{4}\) by \(3\):
\[
\frac{7}{4} \cdot 3 = \frac{7 \cdot 3}{4} = \frac{21}{4}
\]
Now, combine the results:
\[
\frac{7}{4}(8h + 3) = 14h + \frac{21}{4}
\]
Therefore, the expanded expression is:
\[
14h + \frac{21}{4}
\]
Here’s how you do it step-by-step:
1. Multiply \(\frac{7}{4}\) by \(8h\):
\[
\frac{7}{4} \cdot 8h = \frac{7 \cdot 8h}{4} = \frac{56h}{4} = 14h
\]
2. Multiply \(\frac{7}{4}\) by \(3\):
\[
\frac{7}{4} \cdot 3 = \frac{7 \cdot 3}{4} = \frac{21}{4}
\]
Now, combine the results:
\[
\frac{7}{4}(8h + 3) = 14h + \frac{21}{4}
\]
Therefore, the expanded expression is:
\[
14h + \frac{21}{4}
\]