Simplify ((a+b)/4)/((a^2+b^2)/4)

$\frac{\frac{a + b}{4}}{\frac{a^{2} + b^{2}}{4}}$

Multiply the numerator by the reciprocal of the denominator.

$\frac{a + b}{4} \cdot \frac{4}{a^{2} + b^{2}}$

Cancel the common factor of $4$ .

Cancel the common factor.

$\frac{a + b}{4} \cdot \frac{4}{a^{2} + b^{2}}$

Rewrite the expression.

$(a + b) \frac{1}{a^{2} + b^{2}}$

Multiply $a + b$ by $\frac{1}{a^{2} + b^{2}}$ .

$\frac{a + b}{a^{2} + b^{2}}$