Pre-Algebra Examples

$\frac{7}{x - 4} \div \frac{35}{4 x - 16}$

Step 1

To divide by a fraction, multiply by its reciprocal.

$\frac{7}{x - 4} \cdot \frac{4 x - 16}{35}$

Step 2

Cancel the common factor of $7$ .

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Step 2.1

Factor $7$ out of $35$ .

$\frac{7}{x - 4} \cdot \frac{4 x - 16}{7 (5)}$

Step 2.2

Cancel the common factor.

$\frac{7}{x - 4} \cdot \frac{4 x - 16}{7 \cdot 5}$

Step 2.3

Rewrite the expression.

$\frac{1}{x - 4} \cdot \frac{4 x - 16}{5}$

Step 3

Multiply $\frac{1}{x - 4}$ by $\frac{4 x - 16}{5}$ .

$\frac{4 x - 16}{(x - 4) \cdot 5}$

Step 4

Factor $4$ out of $4 x - 16$ .

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Step 4.1

Factor $4$ out of $4 x$ .

$\frac{4 (x) - 16}{(x - 4) \cdot 5}$

Step 4.2

Factor $4$ out of $- 16$ .

$\frac{4 x + 4 \cdot - 4}{(x - 4) \cdot 5}$

Step 4.3

Factor $4$ out of $4 x + 4 \cdot - 4$ .

$\frac{4 (x - 4)}{(x - 4) \cdot 5}$

Step 5

Cancel the common factor of $x - 4$ .

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Step 5.1

Cancel the common factor.

$\frac{4 (x - 4)}{(x - 4) \cdot 5}$

Step 5.2

Rewrite the expression.

$\frac{4}{5}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{4}{5}$

Decimal Form:

$0.8$