Basic Math Examples

\frac{3}{4} \div \frac{9}{10}

$\frac{3}{4} \div \frac{9}{10}$

Step 1

To divide by a fraction, multiply by its reciprocal.

\frac{3}{4} \cdot \frac{10}{9}

$\frac{3}{4} \cdot \frac{10}{9}$

Step 2

Cancel the common factor of

3

$3$ .

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Step 2.1

Factor

3

$3$ out of

9

$9$ .

\frac{3}{4} \cdot \frac{10}{3 (3)}

$\frac{3}{4} \cdot \frac{10}{3 (3)}$

Step 2.2

Cancel the common factor.

$\frac{3}{4} \cdot \frac{10}{3 \cdot 3}$

Step 2.3

Rewrite the expression.

$\frac{1}{4} \cdot \frac{10}{3}$

$\frac{1}{4} \cdot \frac{10}{3}$

Step 3

Cancel the common factor of

$2$ .

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Step 3.1

Factor

$2$ out of

$4$ .

$\frac{1}{2 (2)} \cdot \frac{10}{3}$

Step 3.2

Factor

$2$ out of

$10$ .

$\frac{1}{2 \cdot 2} \cdot \frac{2 \cdot 5}{3}$

Step 3.3

Cancel the common factor.

$\frac{1}{2 \cdot 2} \cdot \frac{2 \cdot 5}{3}$

Step 3.4

Rewrite the expression.

$\frac{1}{2} \cdot \frac{5}{3}$

$\frac{1}{2} \cdot \frac{5}{3}$

Step 4

Multiply

$\frac{1}{2}$ by

$\frac{5}{3}$ .

$\frac{5}{2 \cdot 3}$

Step 5

Multiply

$2$ by

$3$ .

$\frac{5}{6}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{5}{6}$

Decimal Form:

$0.8\overline{3}$

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