Basic Math Examples

- \frac{\frac{6}{5}}{\frac{2}{9}}

$- \frac{\frac{6}{5}}{\frac{2}{9}}$

Step 1

Multiply the numerator by the reciprocal of the denominator.

- (\frac{6}{5} \cdot \frac{9}{2})

$- (\frac{6}{5} \cdot \frac{9}{2})$

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{9}{2})

$- (\frac{2 (3)}{5} \cdot \frac{9}{2})$

Step 2.2

Cancel the common factor.

$- (\frac{2 \cdot 3}{5} \cdot \frac{9}{2})$

Step 2.3

Rewrite the expression.

$- (\frac{3}{5} \cdot 9)$

Step 3

Combine

$\frac{3}{5}$ and

$9$ .

$- \frac{3 \cdot 9}{5}$

Step 4

Multiply

$3$ by

$9$ .

$- \frac{27}{5}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$- \frac{27}{5}$

Decimal Form:

$- 5.4$

Mixed Number Form:

$- 5 \frac{2}{5}$