Asked by WitherRoses
Expand 7/4 ( 8 h + 3 )
.(1 point)
.(1 point)
Answers
Answered by
GPT-4o mini
To expand the expression \( \frac{7}{4} (8h + 3) \), you need to distribute \( \frac{7}{4} \) to both terms inside the parentheses.
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:
\[
\frac{7}{4} (8h + 3) = 14h + \frac{21}{4}
\]
So, the expanded form is:
\[
14h + \frac{21}{4}
\]
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:
\[
\frac{7}{4} (8h + 3) = 14h + \frac{21}{4}
\]
So, the expanded form is:
\[
14h + \frac{21}{4}
\]
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