Pre-Algebra Examples

$\frac{\frac{4}{x - 1}}{\frac{24}{5 x - 5}}$

Step 1

Multiply the numerator by the reciprocal of the denominator.

$\frac{4}{x - 1} \cdot \frac{5 x - 5}{24}$

Step 2

Cancel the common factor of $4$ .

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Step 2.1

Factor $4$ out of $24$ .

$\frac{4}{x - 1} \cdot \frac{5 x - 5}{4 (6)}$

Step 2.2

Cancel the common factor.

$\frac{4}{x - 1} \cdot \frac{5 x - 5}{4 \cdot 6}$

Step 2.3

Rewrite the expression.

$\frac{1}{x - 1} \cdot \frac{5 x - 5}{6}$

Step 3

Multiply $\frac{1}{x - 1}$ by $\frac{5 x - 5}{6}$ .

$\frac{5 x - 5}{(x - 1) \cdot 6}$

Step 4

Factor $5$ out of $5 x - 5$ .

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Step 4.1

Factor $5$ out of $5 x$ .

$\frac{5 (x) - 5}{(x - 1) \cdot 6}$

Step 4.2

Factor $5$ out of $- 5$ .

$\frac{5 (x) + 5 (- 1)}{(x - 1) \cdot 6}$

Step 4.3

Factor $5$ out of $5 (x) + 5 (- 1)$ .

$\frac{5 (x - 1)}{(x - 1) \cdot 6}$

Step 5

Cancel the common factor of $x - 1$ .

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Step 5.1

Cancel the common factor.

$\frac{5 (x - 1)}{(x - 1) \cdot 6}$

Step 5.2

Rewrite the expression.

$\frac{5}{6}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{5}{6}$

Decimal Form:

$0.8\overline{3}$