Simplify x/(3/x+1/x)

$\frac{x}{\frac{3}{x} + \frac{1}{x}}$

Step 1

Simplify the denominator.

Combine the numerators over the common denominator.

$\frac{x}{\frac{3 + 1}{x}}$

Add $3$ and $1$ .

$\frac{x}{\frac{4}{x}}$

Step 2

Multiply the numerator by the reciprocal of the denominator.

$x \frac{x}{4}$

Step 3

Multiply $x \frac{x}{4}$ .

Combine $x$ and $\frac{x}{4}$ .

$\frac{x \cdot x}{4}$

Raise $x$ to the power of $1$ .

$\frac{x^{1} x}{4}$

Raise $x$ to the power of $1$ .

$\frac{x^{1} x^{1}}{4}$

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$\frac{x^{1 + 1}}{4}$

Add $1$ and $1$ .

$\frac{x^{2}}{4}$