expand 13/4(3x+3/4)

Answer 1

To expand the expression \( \frac{13}{4}(3x + \frac{3}{4}) \), you can distribute \( \frac{13}{4} \) to both terms inside the parentheses:

1. Distributing to \( 3x \): \[ \frac{13}{4} \cdot 3x = \frac{39}{4} x \]

2. Distributing to \( \frac{3}{4} \): \[ \frac{13}{4} \cdot \frac{3}{4} = \frac{39}{16} \]

Now, combine the results: \[ \frac{13}{4}(3x + \frac{3}{4}) = \frac{39}{4}x + \frac{39}{16} \]

Thus, the expanded expression is: \[ \frac{39}{4}x + \frac{39}{16} \]