Simplify (3x-9)/2*4/(7x-21)

$\frac{3 x - 9}{2} \cdot \frac{4}{7 x - 21}$

Step 1

Factor $3$ out of $3 x - 9$ .

Factor $3$ out of $3 x$ .

$\frac{3 (x) - 9}{2} \cdot \frac{4}{7 x - 21}$

Factor $3$ out of $- 9$ .

$\frac{3 x + 3 \cdot - 3}{2} \cdot \frac{4}{7 x - 21}$

Factor $3$ out of $3 x + 3 \cdot - 3$ .

$\frac{3 (x - 3)}{2} \cdot \frac{4}{7 x - 21}$

Step 2

Factor $7$ out of $7 x - 21$ .

Factor $7$ out of $7 x$ .

$\frac{3 (x - 3)}{2} \cdot \frac{4}{7 (x) - 21}$

Factor $7$ out of $- 21$ .

$\frac{3 (x - 3)}{2} \cdot \frac{4}{7 x + 7 \cdot - 3}$

Factor $7$ out of $7 x + 7 \cdot - 3$ .

$\frac{3 (x - 3)}{2} \cdot \frac{4}{7 (x - 3)}$

Step 3

Cancel the common factor of $x - 3$ .

Factor $x - 3$ out of $3 (x - 3)$ .

$\frac{(x - 3) \cdot 3}{2} \cdot \frac{4}{7 (x - 3)}$

Factor $x - 3$ out of $7 (x - 3)$ .

$\frac{(x - 3) \cdot 3}{2} \cdot \frac{4}{(x - 3) \cdot 7}$

Cancel the common factor.

$\frac{(x - 3) \cdot 3}{2} \cdot \frac{4}{(x - 3) \cdot 7}$

Rewrite the expression.

$\frac{3}{2} \cdot \frac{4}{7}$

Step 4

Cancel the common factor of $2$ .

Factor $2$ out of $4$ .

$\frac{3}{2} \cdot \frac{2 (2)}{7}$

Cancel the common factor.

$\frac{3}{2} \cdot \frac{2 \cdot 2}{7}$

Rewrite the expression.

$3 \cdot \frac{2}{7}$

Step 5

Combine $3$ and $\frac{2}{7}$ .

$\frac{3 \cdot 2}{7}$

Step 6

Multiply $3$ by $2$ .

$\frac{6}{7}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$\frac{6}{7}$

Decimal Form:

$0.\overline{857142}$

Simplify (3x-9)/2*4/(7x-21)

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