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: $$\frac{39}{4}x+\frac{39}{16}$$