Basic Math Examples

$- \frac{11}{3} \div \frac{11}{2} \cdot \frac{3}{4} \cdot 2$

Step 1

To divide by a fraction, multiply by its reciprocal.

$- \frac{11}{3} \cdot \frac{2}{11} \cdot \frac{3}{4} \cdot 2$

Step 2

Cancel the common factor of $11$ .

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Step 2.1

Move the leading negative in $- \frac{11}{3}$ into the numerator.

$\frac{- 11}{3} \cdot \frac{2}{11} \cdot \frac{3}{4} \cdot 2$

Step 2.2

Factor $11$ out of $- 11$ .

$\frac{11 (- 1)}{3} \cdot \frac{2}{11} \cdot \frac{3}{4} \cdot 2$

Step 2.3

Cancel the common factor.

$\frac{11 \cdot - 1}{3} \cdot \frac{2}{11} \cdot \frac{3}{4} \cdot 2$

Step 2.4

Rewrite the expression.

$\frac{- 1}{3} \cdot 2 \cdot \frac{3}{4} \cdot 2$

Step 3

Combine $\frac{- 1}{3}$ and $2$ .

$\frac{- 1 \cdot 2}{3} \cdot \frac{3}{4} \cdot 2$

Step 4

Multiply $- 1$ by $2$ .

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

Step 5

Cancel the common factor of $2$ .

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Step 5.1

Factor $2$ out of $- 2$ .

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

Step 5.2

Factor $2$ out of $4$ .

$\frac{2 \cdot - 1}{3} \cdot \frac{3}{2 \cdot 2} \cdot 2$

Step 5.3

Cancel the common factor.

$\frac{2 \cdot - 1}{3} \cdot \frac{3}{2 \cdot 2} \cdot 2$

Step 5.4

Rewrite the expression.

$\frac{- 1}{3} \cdot \frac{3}{2} \cdot 2$

Step 6

Cancel the common factor of $3$ .

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Step 6.1

Cancel the common factor.

$\frac{- 1}{3} \cdot \frac{3}{2} \cdot 2$

Step 6.2

Rewrite the expression.

$- 1 \cdot \frac{1}{2} \cdot 2$

Step 7

Rewrite $- 1 (\frac{1}{2})$ as $- (\frac{1}{2})$ .

$- (\frac{1}{2}) \cdot 2$

Step 8

Cancel the common factor of $2$ .

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Step 8.1

Move the leading negative in $- (\frac{1}{2})$ into the numerator.

$\frac{- 1}{2} \cdot 2$

Step 8.2

Cancel the common factor.

$\frac{- 1}{2} \cdot 2$

Step 8.3

Rewrite the expression.

$- 1$