Basic Math Examples

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

Step 1

Simplify each term.

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Step 1.1

Add $2$ and $8$ .

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

Step 1.2

Multiply $6$ by $10$ .

$\frac{3}{4} - 60 \div (- \frac{1}{3}) \cdot (- \frac{1}{9})$

Step 1.3

Cancel the common factor of $3$ .

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Step 1.3.1

Move the leading negative in $- 60 \div (- \frac{1}{3})$ into the numerator.

$\frac{3}{4} + - 60 \div (- \frac{1}{3}) \cdot (- \frac{1}{9})$

Step 1.3.2

Move the leading negative in $- \frac{1}{9}$ into the numerator.

$\frac{3}{4} + - 60 \div (- \frac{1}{3}) \cdot \frac{- 1}{9}$

Step 1.3.3

Factor $3$ out of $- 60$ .

$\frac{3}{4} + 3 (- 20) \div (- \frac{1}{3}) \cdot \frac{- 1}{9}$

Step 1.3.4

Factor $3$ out of $9$ .

$\frac{3}{4} + 3 \cdot - 20 \div (- \frac{1}{3}) \cdot \frac{- 1}{3 \cdot 3}$

Step 1.3.5

Cancel the common factor.

$\frac{3}{4} + 3 \cdot - 20 \div (- \frac{1}{3}) \cdot \frac{- 1}{3 \cdot 3}$

Step 1.3.6

Rewrite the expression.

$\frac{3}{4} + \frac{- 20}{- \frac{1}{3}} \cdot \frac{- 1}{3}$

Step 1.4

Multiply $\frac{- 20}{- \frac{1}{3}}$ by $\frac{- 1}{3}$ .

$\frac{3}{4} + \frac{- 20 \cdot - 1}{- \frac{1}{3} \cdot 3}$

Step 1.5

Multiply $- 20$ by $- 1$ .

$\frac{3}{4} + \frac{20}{- \frac{1}{3} \cdot 3}$

Step 1.6

Multiply $3$ by $- 1$ .

$\frac{3}{4} + \frac{20}{- 3 (\frac{1}{3})}$

Step 1.7

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

$\frac{3}{4} + \frac{20}{\frac{- 3}{3}}$

Step 1.8

Cancel the common factor of $- 3$ and $3$ .

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Step 1.8.1

Factor $3$ out of $- 3$ .

$\frac{3}{4} + \frac{20}{\frac{3 \cdot - 1}{3}}$

Step 1.8.2

Cancel the common factors.

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Step 1.8.2.1

Factor $3$ out of $3$ .

$\frac{3}{4} + \frac{20}{\frac{3 \cdot - 1}{3 (1)}}$

Step 1.8.2.2

Cancel the common factor.

$\frac{3}{4} + \frac{20}{\frac{3 \cdot - 1}{3 \cdot 1}}$

Step 1.8.2.3

Rewrite the expression.

$\frac{3}{4} + \frac{20}{\frac{- 1}{1}}$

Step 1.8.2.4

Divide $- 1$ by $1$ .

$\frac{3}{4} + \frac{20}{- 1}$

Step 1.9

Move the negative one from the denominator of $\frac{20}{- 1}$ .

$\frac{3}{4} - 1 \cdot 20$

Step 1.10

Multiply $- 1$ by $20$ .

$\frac{3}{4} - 20$

Step 2

To write $- 20$ as a fraction with a common denominator, multiply by $\frac{4}{4}$ .

$\frac{3}{4} - 20 \cdot \frac{4}{4}$

Step 3

Combine $- 20$ and $\frac{4}{4}$ .

$\frac{3}{4} + \frac{- 20 \cdot 4}{4}$

Step 4

Combine the numerators over the common denominator.

$\frac{3 - 20 \cdot 4}{4}$

Step 5

Simplify the numerator.

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Step 5.1

Multiply $- 20$ by $4$ .

$\frac{3 - 80}{4}$

Step 5.2

Subtract $80$ from $3$ .

$\frac{- 77}{4}$

Step 6

Move the negative in front of the fraction.

$- \frac{77}{4}$