Basic Math Examples

$\frac{1}{2} \cdot (- \frac{3}{5} \div \frac{3}{10})$

Step 1

To divide by a fraction, multiply by its reciprocal.

$\frac{1}{2} \cdot (- \frac{3}{5} \cdot \frac{10}{3})$

Step 2

Cancel the common factor of $3$ .

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Step 2.1

Move the leading negative in $- \frac{3}{5}$ into the numerator.

$\frac{1}{2} \cdot (\frac{- 3}{5} \cdot \frac{10}{3})$

Step 2.2

Factor $3$ out of $- 3$ .

$\frac{1}{2} \cdot (\frac{3 (- 1)}{5} \cdot \frac{10}{3})$

Step 2.3

Cancel the common factor.

$\frac{1}{2} \cdot (\frac{3 \cdot - 1}{5} \cdot \frac{10}{3})$

Step 2.4

Rewrite the expression.

$\frac{1}{2} \cdot (\frac{- 1}{5} \cdot 10)$

Step 3

Cancel the common factor of $5$ .

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Step 3.1

Factor $5$ out of $10$ .

$\frac{1}{2} \cdot (\frac{- 1}{5} \cdot (5 (2)))$

Step 3.2

Cancel the common factor.

$\frac{1}{2} \cdot (\frac{- 1}{5} \cdot (5 \cdot 2))$

Step 3.3

Rewrite the expression.

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

Step 4

Multiply $- 1$ by $2$ .

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

Step 5

Cancel the common factor of $2$ .

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Step 5.1

Factor $2$ out of $- 2$ .

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

Step 5.2

Cancel the common factor.

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

Step 5.3

Rewrite the expression.

$- 1$