Write the Fraction in Simplest Form (2/(3+x))/(4(y+1))

$\frac{\frac{2}{3 + x}}{4 (y + 1)}$

Multiply the numerator by the reciprocal of the denominator.

$\frac{2}{3 + x} \cdot \frac{1}{4 (y + 1)}$

Cancel the common factor of $2$ .

Factor $2$ out of $4 (y + 1)$ .

$\frac{2}{3 + x} \cdot \frac{1}{2 (2 (y + 1))}$

Cancel the common factor.

$\frac{2}{3 + x} \cdot \frac{1}{2 (2 (y + 1))}$

Rewrite the expression.

$\frac{1}{3 + x} \cdot \frac{1}{2 (y + 1)}$

Multiply $\frac{1}{3 + x}$ by $\frac{1}{2 (y + 1)}$ .

$\frac{1}{(3 + x) (2 (y + 1))}$

Move $2$ to the left of $3 + x$ .

$\frac{1}{2 (3 + x) (y + 1)}$