Simplify 1/2x^3+1/4x^3

$\frac{1}{2} x^{3} + \frac{1}{4} x^{3}$

Step 1

Simplify each term.

Combine $\frac{1}{2}$ and $x^{3}$ .

$\frac{x^{3}}{2} + \frac{1}{4} x^{3}$

Combine $\frac{1}{4}$ and $x^{3}$ .

$\frac{x^{3}}{2} + \frac{x^{3}}{4}$

Step 2

To write $\frac{x^{3}}{2}$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$\frac{x^{3}}{2} \cdot \frac{2}{2} + \frac{x^{3}}{4}$

Step 3

Write each expression with a common denominator of $4$ , by multiplying each by an appropriate factor of $1$ .

Multiply $\frac{x^{3}}{2}$ by $\frac{2}{2}$ .

$\frac{x^{3} \cdot 2}{2 \cdot 2} + \frac{x^{3}}{4}$

Multiply $2$ by $2$ .

$\frac{x^{3} \cdot 2}{4} + \frac{x^{3}}{4}$

Step 4

Combine the numerators over the common denominator.

$\frac{x^{3} \cdot 2 + x^{3}}{4}$

Step 5

Simplify the numerator.

Move $2$ to the left of $x^{3}$ .

$\frac{2 \cdot x^{3} + x^{3}}{4}$

Add $2 x^{3}$ and $x^{3}$ .

$\frac{3 x^{3}}{4}$