Basic Math Examples

$\frac{\frac{2 m - 5}{6}}{12 m - 30}$

Step 1

Multiply the numerator by the reciprocal of the denominator.

$\frac{2 m - 5}{6} \cdot \frac{1}{12 m - 30}$

Step 2

Factor $6$ out of $12 m - 30$ .

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Step 2.1

Factor $6$ out of $12 m$ .

$\frac{2 m - 5}{6} \cdot \frac{1}{6 (2 m) - 30}$

Step 2.2

Factor $6$ out of $- 30$ .

$\frac{2 m - 5}{6} \cdot \frac{1}{6 (2 m) + 6 (- 5)}$

Step 2.3

Factor $6$ out of $6 (2 m) + 6 (- 5)$ .

$\frac{2 m - 5}{6} \cdot \frac{1}{6 (2 m - 5)}$

Step 3

Cancel the common factor of $2 m - 5$ .

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Step 3.1

Factor $2 m - 5$ out of $6 (2 m - 5)$ .

$\frac{2 m - 5}{6} \cdot \frac{1}{(2 m - 5) \cdot 6}$

Step 3.2

Cancel the common factor.

$\frac{2 m - 5}{6} \cdot \frac{1}{(2 m - 5) \cdot 6}$

Step 3.3

Rewrite the expression.

$\frac{1}{6} \cdot \frac{1}{6}$

Step 4

Multiply $\frac{1}{6}$ by $\frac{1}{6}$ .

$\frac{1}{6 \cdot 6}$

Step 5

Multiply $6$ by $6$ .

$\frac{1}{36}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{36}$

Decimal Form:

$0.02\overline{7}$