Basic Math Examples

$\frac{12}{26} \div \frac{38}{24}$

Step 1

To divide by a fraction, multiply by its reciprocal.

$\frac{12}{26} \cdot \frac{24}{38}$

Step 2

Cancel the common factor of $2$ .

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Step 2.1

Factor $2$ out of $12$ .

$\frac{2 (6)}{26} \cdot \frac{24}{38}$

Step 2.2

Factor $2$ out of $38$ .

$\frac{2 \cdot 6}{26} \cdot \frac{24}{2 \cdot 19}$

Step 2.3

Cancel the common factor.

$\frac{2 \cdot 6}{26} \cdot \frac{24}{2 \cdot 19}$

Step 2.4

Rewrite the expression.

$\frac{6}{26} \cdot \frac{24}{19}$

Step 3

Cancel the common factor of $2$ .

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Step 3.1

Factor $2$ out of $26$ .

$\frac{6}{2 (13)} \cdot \frac{24}{19}$

Step 3.2

Factor $2$ out of $24$ .

$\frac{6}{2 \cdot 13} \cdot \frac{2 \cdot 12}{19}$

Step 3.3

Cancel the common factor.

$\frac{6}{2 \cdot 13} \cdot \frac{2 \cdot 12}{19}$

Step 3.4

Rewrite the expression.

$\frac{6}{13} \cdot \frac{12}{19}$

Step 4

Multiply $\frac{6}{13}$ by $\frac{12}{19}$ .

$\frac{6 \cdot 12}{13 \cdot 19}$

Step 5

Multiply.

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Step 5.1

Multiply $6$ by $12$ .

$\frac{72}{13 \cdot 19}$

Step 5.2

Multiply $13$ by $19$ .

$\frac{72}{247}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{72}{247}$

Decimal Form:

$0.29149797 \dots$