Find the Product 7/(8-2a)*(4-a)/2

$\frac{7}{8 - 2 a} \cdot \frac{4 - a}{2}$

Step 1

Factor $2$ out of $8 - 2 a$ .

Factor $2$ out of $8$ .

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

Factor $2$ out of $- 2 a$ .

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

Factor $2$ out of $2 (4) + 2 (- a)$ .

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

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

Step 2

Cancel the common factor of $4 - a$ .

Factor $4 - a$ out of $2 (4 - a)$ .

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

Cancel the common factor.

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

Rewrite the expression.

$\frac{7}{2} \cdot \frac{1}{2}$

$\frac{7}{2} \cdot \frac{1}{2}$

Step 3

Multiply $\frac{7}{2}$ by $\frac{1}{2}$ .

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

Step 4

Multiply $2$ by $2$ .

$\frac{7}{4}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{7}{4}$

Decimal Form:

$1.75$

Mixed Number Form:

$1 \frac{3}{4}$

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