Basic Math Examples

$\frac{1}{4} - \frac{6 (2 + 8)}{(- \frac{1}{3}) (- \frac{1}{9})}$

Step 1

Simplify each term.

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Step 1.1

Add $2$ and $8$ .

$\frac{1}{4} - \frac{6 \cdot 10}{- \frac{1}{3} (- \frac{1}{9})}$

Step 1.2

Simplify the denominator.

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Step 1.2.1

Multiply $- 1$ by $- 1$ .

$\frac{1}{4} - \frac{6 \cdot 10}{1 (\frac{1}{3}) \frac{1}{9}}$

Step 1.2.2

Multiply $\frac{1}{3}$ by $1$ .

$\frac{1}{4} - \frac{6 \cdot 10}{\frac{1}{3} \cdot \frac{1}{9}}$

Step 1.2.3

Multiply $\frac{1}{3}$ by $\frac{1}{9}$ .

$\frac{1}{4} - \frac{6 \cdot 10}{\frac{1}{3 \cdot 9}}$

Step 1.3

Multiply $3$ by $9$ .

$\frac{1}{4} - \frac{6 \cdot 10}{\frac{1}{27}}$

Step 1.4

Multiply $6$ by $10$ .

$\frac{1}{4} - \frac{60}{\frac{1}{27}}$

Step 1.5

Multiply the numerator by the reciprocal of the denominator.

$\frac{1}{4} - (60 \cdot 27)$

Step 1.6

Multiply $- (60 \cdot 27)$ .

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Step 1.6.1

Multiply $60$ by $27$ .

$\frac{1}{4} - 1 \cdot 1620$

Step 1.6.2

Multiply $- 1$ by $1620$ .

$\frac{1}{4} - 1620$

Step 2

To write $- 1620$ as a fraction with a common denominator, multiply by $\frac{4}{4}$ .

$\frac{1}{4} - 1620 \cdot \frac{4}{4}$

Step 3

Combine $- 1620$ and $\frac{4}{4}$ .

$\frac{1}{4} + \frac{- 1620 \cdot 4}{4}$

Step 4

Combine the numerators over the common denominator.

$\frac{1 - 1620 \cdot 4}{4}$

Step 5

Simplify the numerator.

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Step 5.1

Multiply $- 1620$ by $4$ .

$\frac{1 - 6480}{4}$

Step 5.2

Subtract $6480$ from $1$ .

$\frac{- 6479}{4}$

Step 6

Move the negative in front of the fraction.

$- \frac{6479}{4}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$- \frac{6479}{4}$

Decimal Form:

$- 1619.75$

Mixed Number Form:

$- 1619 \frac{3}{4}$