Algebra Examples

$\frac{5}{10} \div \frac{6}{12}$

Step 1

To divide by a fraction, multiply by its reciprocal.

$\frac{5}{10} \cdot \frac{12}{6}$

Step 2

Cancel the common factor of $2$ .

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Step 2.1

Factor $2$ out of $10$ .

$\frac{5}{2 (5)} \cdot \frac{12}{6}$

Step 2.2

Factor $2$ out of $12$ .

$\frac{5}{2 \cdot 5} \cdot \frac{2 \cdot 6}{6}$

Step 2.3

Cancel the common factor.

$\frac{5}{2 \cdot 5} \cdot \frac{2 \cdot 6}{6}$

Step 2.4

Rewrite the expression.

$\frac{5}{5} \cdot \frac{6}{6}$

$\frac{5}{5} \cdot \frac{6}{6}$

Step 3

Multiply $\frac{5}{5}$ by $\frac{6}{6}$ .

$\frac{5 \cdot 6}{5 \cdot 6}$

Step 4

Multiply $5$ by $6$ .

$\frac{30}{5 \cdot 6}$

Step 5

Multiply $5$ by $6$ .

$\frac{30}{30}$

Step 6

Divide $30$ by $30$ .

$1$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$