Basic Math Examples

\frac{13}{18} \div \frac{20}{27}

$\frac{13}{18} \div \frac{20}{27}$

Step 1

To divide by a fraction, multiply by its reciprocal.

\frac{13}{18} \cdot \frac{27}{20}

$\frac{13}{18} \cdot \frac{27}{20}$

Step 2

Cancel the common factor of

9

$9$ .

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Step 2.1

Factor

9

$9$ out of

18

$18$ .

\frac{13}{9 (2)} \cdot \frac{27}{20}

$\frac{13}{9 (2)} \cdot \frac{27}{20}$

Step 2.2

Factor

9

$9$ out of

27

$27$ .

\frac{13}{9 \cdot 2} \cdot \frac{9 \cdot 3}{20}

$\frac{13}{9 \cdot 2} \cdot \frac{9 \cdot 3}{20}$

Step 2.3

Cancel the common factor.

$\frac{13}{9 \cdot 2} \cdot \frac{9 \cdot 3}{20}$

Step 2.4

Rewrite the expression.

$\frac{13}{2} \cdot \frac{3}{20}$

$\frac{13}{2} \cdot \frac{3}{20}$

Step 3

Multiply

$\frac{13}{2}$ by

$\frac{3}{20}$ .

$\frac{13 \cdot 3}{2 \cdot 20}$

Step 4

Multiply.

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Step 4.1

Multiply

$13$ by

$3$ .

$\frac{39}{2 \cdot 20}$

Step 4.2

Multiply

$2$ by

$20$ .

$\frac{39}{40}$

$\frac{39}{40}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{39}{40}$

Decimal Form:

$0.975$

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