Basic Math Examples

$\frac{12}{5} \cdot (- \frac{5}{8})$

Step 1

Cancel the common factor of $4$ .

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Step 1.1

Move the leading negative in $- \frac{5}{8}$ into the numerator.

$\frac{12}{5} \cdot \frac{- 5}{8}$

Step 1.2

Factor $4$ out of $12$ .

$\frac{4 (3)}{5} \cdot \frac{- 5}{8}$

Step 1.3

Factor $4$ out of $8$ .

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

Step 1.4

Cancel the common factor.

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

Step 1.5

Rewrite the expression.

$\frac{3}{5} \cdot \frac{- 5}{2}$

$\frac{3}{5} \cdot \frac{- 5}{2}$

Step 2

Cancel the common factor of $5$ .

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Step 2.1

Factor $5$ out of $- 5$ .

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

Step 2.2

Cancel the common factor.

$\frac{3}{5} \cdot \frac{5 \cdot - 1}{2}$

Step 2.3

Rewrite the expression.

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

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

Step 3

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

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

Step 4

Simplify the expression.

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Step 4.1

Multiply $3$ by $- 1$ .

$\frac{- 3}{2}$

Step 4.2

Move the negative in front of the fraction.

$- \frac{3}{2}$

$- \frac{3}{2}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$- \frac{3}{2}$

Decimal Form:

$- 1.5$

Mixed Number Form:

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

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$