Basic Math Examples

$(- \frac{5}{3}) (\frac{2}{5}) (- \frac{3}{4})$

Step 1

Cancel the common factor of $5$ .

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Step 1.1

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

$\frac{- 5}{3} \cdot \frac{2}{5} \cdot (- \frac{3}{4})$

Step 1.2

Factor $5$ out of $- 5$ .

$\frac{5 (- 1)}{3} \cdot \frac{2}{5} \cdot (- \frac{3}{4})$

Step 1.3

Cancel the common factor.

$\frac{5 \cdot - 1}{3} \cdot \frac{2}{5} \cdot (- \frac{3}{4})$

Step 1.4

Rewrite the expression.

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

Step 2

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

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

Step 3

Multiply $- 1$ by $2$ .

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

Step 4

Cancel the common factor of $2$ .

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Step 4.1

Move the leading negative in $- \frac{3}{4}$ into the numerator.

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

Step 4.2

Factor $2$ out of $- 2$ .

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

Step 4.3

Factor $2$ out of $4$ .

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

Step 4.4

Cancel the common factor.

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

Step 4.5

Rewrite the expression.

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

Step 5

Cancel the common factor of $3$ .

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Step 5.1

Factor $3$ out of $- 3$ .

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

Step 5.2

Cancel the common factor.

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

Step 5.3

Rewrite the expression.

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

Step 6

Move the negative in front of the fraction.

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

Step 7

Multiply $- 1 (- \frac{1}{2})$ .

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Step 7.1

Multiply $- 1$ by $- 1$ .

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

Step 7.2

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

$\frac{1}{2}$

Step 8

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{2}$

Decimal Form:

$0.5$