Basic Math Examples

\frac{6}{5} \div \frac{4}{3}

$\frac{6}{5} \div \frac{4}{3}$

Step 1

To divide by a fraction, multiply by its reciprocal.

\frac{6}{5} \cdot \frac{3}{4}

$\frac{6}{5} \cdot \frac{3}{4}$

Step 2

Cancel the common factor of

2

$2$ .

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Step 2.1

Factor

2

$2$ out of

6

$6$ .

\frac{2 (3)}{5} \cdot \frac{3}{4}

$\frac{2 (3)}{5} \cdot \frac{3}{4}$

Step 2.2

Factor

2

$2$ out of

4

$4$ .

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

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

Step 2.3

Cancel the common factor.

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

Step 2.4

Rewrite the expression.

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

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

Step 3

Multiply

$\frac{3}{5}$ by

$\frac{3}{2}$ .

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

Step 4

Multiply.

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Step 4.1

Multiply

$3$ by

$3$ .

$\frac{9}{5 \cdot 2}$

Step 4.2

Multiply

$5$ by

$2$ .

$\frac{9}{10}$

$\frac{9}{10}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{9}{10}$

Decimal Form:

$0.9$

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