Basic Math Examples

$- \frac{\frac{10}{4}}{\frac{2}{9}}$

Step 1

Cancel the common factor of

$10$ and

$4$ .

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Step 1.1

Factor

$2$ out of

$10$ .

$- \frac{\frac{2 (5)}{4}}{\frac{2}{9}}$

Step 1.2

Cancel the common factors.

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Step 1.2.1

Factor

$2$ out of

$4$ .

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

Step 1.2.2

Cancel the common factor.

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

Step 1.2.3

Rewrite the expression.

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

Step 2

Multiply the numerator by the reciprocal of the denominator.

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

Step 3

Multiply

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

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Step 3.1

Multiply

$\frac{5}{2}$ by

$\frac{9}{2}$ .

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

Step 3.2

Multiply

$5$ by

$9$ .

$- \frac{45}{2 \cdot 2}$

Step 3.3

Multiply

$2$ by

$2$ .

$- \frac{45}{4}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$- \frac{45}{4}$

Decimal Form:

$- 11.25$

Mixed Number Form:

$- 11 \frac{1}{4}$