Question

complete each statement.

If$\frac{x}{2}=\frac{y}{3}$then$\frac{x+2}{2}=?$

Short answer

The final answer is, $\frac{x}{2}=\frac{y}{3}\Rightarrow \frac{x+2}{2}=\frac{y+3}{3}$.

Step-by-step solution

Step 1. Given information.

The given proportion is,

$\frac{x}{2}=\frac{y}{3}$.

It is given that,$\frac{x}{2}=\frac{y}{3}$

Step 2. Add 1 both sides.

$\frac{x}{2}+1=\frac{y}{3}+1$

Step 3. The given proportion will be equivalent to.

$\frac{x+2}{2}=\frac{y+3}{3}$

So,

$\frac{x}{2}=\frac{y}{3}\Rightarrow \frac{x+2}{2}=\frac{y+3}{3}$

Therefore, the final answer is, $\frac{x}{2}=\frac{y}{3}\Rightarrow \frac{x+2}{2}=\frac{y+3}{3}$.