Simplify (7x^2)/(12w)-(3x^2)/(12w)

$\frac{7 x^{2}}{12 w} - \frac{3 x^{2}}{12 w}$

Step 1

Combine the numerators over the common denominator.

$\frac{7 x^{2} - 3 x^{2}}{12 w}$

Step 2

Subtract $3 x^{2}$ from $7 x^{2}$ .

$\frac{4 x^{2}}{12 w}$

Step 3

Cancel the common factor of $4$ and $12$ .

Factor $4$ out of $4 x^{2}$ .

$\frac{4 (x^{2})}{12 w}$

Cancel the common factors.

Factor $4$ out of $12 w$ .

$\frac{4 (x^{2})}{4 (3 w)}$

Cancel the common factor.

$\frac{4 x^{2}}{4 (3 w)}$

Rewrite the expression.

$\frac{x^{2}}{3 w}$