Question

Expand the following expression.

5/4 (3x + 3/4)

Answer 1

To expand the expression \( \frac{5}{4} (3x + \frac{3}{4}) \), you can distribute \( \frac{5}{4} \) to each term inside the parentheses.

1. Multiply \( \frac{5}{4} \) by \( 3x \):
\[
\frac{5}{4} \cdot 3x = \frac{15}{4}x
\]

2. Multiply \( \frac{5}{4} \) by \( \frac{3}{4} \):
\[
\frac{5}{4} \cdot \frac{3}{4} = \frac{15}{16}
\]

Now, combine both results:
\[
\frac{5}{4} (3x + \frac{3}{4}) = \frac{15}{4}x + \frac{15}{16}
\]

Thus, the expanded form of the expression is:
\[
\frac{15}{4}x + \frac{15}{16}
\]