Simplify 7/12-(4x)/(3x)

$\frac{7}{12} - \frac{4 x}{3 x}$

Step 1

Cancel the common factor of $x$ .

Cancel the common factor.

$\frac{7}{12} - \frac{4 x}{3 x}$

Rewrite the expression.

$\frac{7}{12} - \frac{4}{3}$

Step 2

To write $- \frac{4}{3}$ as a fraction with a common denominator, multiply by $\frac{4}{4}$ .

$\frac{7}{12} - \frac{4}{3} \cdot \frac{4}{4}$

Step 3

Write each expression with a common denominator of $12$ , by multiplying each by an appropriate factor of $1$ .

Multiply $\frac{4}{3}$ by $\frac{4}{4}$ .

$\frac{7}{12} - \frac{4 \cdot 4}{3 \cdot 4}$

Multiply $3$ by $4$ .

$\frac{7}{12} - \frac{4 \cdot 4}{12}$

Step 4

Combine the numerators over the common denominator.

$\frac{7 - 4 \cdot 4}{12}$

Step 5

Simplify the numerator.

Multiply $- 4$ by $4$ .

$\frac{7 - 16}{12}$

Subtract $16$ from $7$ .

$\frac{- 9}{12}$

Step 6

Cancel the common factor of $- 9$ and $12$ .

Factor $3$ out of $- 9$ .

$\frac{3 (- 3)}{12}$

Cancel the common factors.

Factor $3$ out of $12$ .

$\frac{3 \cdot - 3}{3 \cdot 4}$

Cancel the common factor.

$\frac{3 \cdot - 3}{3 \cdot 4}$

Rewrite the expression.

$\frac{- 3}{4}$

Step 7

Move the negative in front of the fraction.

$- \frac{3}{4}$

Step 8

The result can be shown in multiple forms.

Exact Form:

$- \frac{3}{4}$

Decimal Form:

$- 0.75$