Basic Math Examples

$\frac{\frac{1}{2}}{\frac{2}{9}} \cdot \frac{\frac{1}{4}}{- \frac{1}{6}}$

Step 1

Multiply the numerator by the reciprocal of the denominator.

$\frac{1}{2} \cdot \frac{9}{2} \cdot \frac{\frac{1}{4}}{- \frac{1}{6}}$

Step 2

Multiply $\frac{1}{2} \cdot \frac{9}{2}$ .

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Step 2.1

Multiply $\frac{1}{2}$ by $\frac{9}{2}$ .

$\frac{9}{2 \cdot 2} \cdot \frac{\frac{1}{4}}{- \frac{1}{6}}$

Step 2.2

Multiply $2$ by $2$ .

$\frac{9}{4} \cdot \frac{\frac{1}{4}}{- \frac{1}{6}}$

Step 3

Multiply.

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Step 3.1

Multiply the numerator by the reciprocal of the denominator.

$\frac{9}{4} \cdot (\frac{1}{4} (- 1 \cdot 6))$

Step 3.2

Multiply $- 1$ by $6$ .

$\frac{9}{4} \cdot (\frac{1}{4} \cdot - 6)$

Step 4

Cancel the common factor of $2$ .

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Step 4.1

Factor $2$ out of $4$ .

$\frac{9}{2 (2)} \cdot (\frac{1}{4} \cdot - 6)$

Step 4.2

Factor $2$ out of $\frac{1}{4} \cdot - 6$ .

$\frac{9}{2 (2)} \cdot (2 (\frac{1}{4} \cdot - 3))$

Step 4.3

Cancel the common factor.

$\frac{9}{2 \cdot 2} \cdot (2 (\frac{1}{4} \cdot - 3))$

Step 4.4

Rewrite the expression.

$\frac{9}{2} \cdot (\frac{1}{4} \cdot - 3)$

Step 5

Combine $\frac{1}{4}$ and $- 3$ .

$\frac{9}{2} \cdot \frac{- 3}{4}$

Step 6

Multiply $\frac{9}{2}$ by $\frac{- 3}{4}$ .

$\frac{9 \cdot - 3}{2 \cdot 4}$

Step 7

Simplify the expression.

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Step 7.1

Multiply $9$ by $- 3$ .

$\frac{- 27}{2 \cdot 4}$

Step 7.2

Multiply $2$ by $4$ .

$\frac{- 27}{8}$

Step 7.3

Move the negative in front of the fraction.

$- \frac{27}{8}$

Step 8

The result can be shown in multiple forms.

Exact Form:

$- \frac{27}{8}$

Decimal Form:

$- 3.375$

Mixed Number Form:

$- 3 \frac{3}{8}$