Basic Math Examples

$- \frac{5}{2} \cdot (- \frac{6}{7})$

Step 1

Cancel the common factor of $2$ .

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Step 1.1

Move the leading negative in $- \frac{5}{2}$ into the numerator.

$\frac{- 5}{2} \cdot (- \frac{6}{7})$

Step 1.2

Move the leading negative in $- \frac{6}{7}$ into the numerator.

$\frac{- 5}{2} \cdot \frac{- 6}{7}$

Step 1.3

Factor $2$ out of $- 6$ .

$\frac{- 5}{2} \cdot \frac{2 (- 3)}{7}$

Step 1.4

Cancel the common factor.

$\frac{- 5}{2} \cdot \frac{2 \cdot - 3}{7}$

Step 1.5

Rewrite the expression.

$- 5 \cdot \frac{- 3}{7}$

Step 2

Combine $- 5$ and $\frac{- 3}{7}$ .

$\frac{- 5 \cdot - 3}{7}$

Step 3

Multiply $- 5$ by $- 3$ .

$\frac{15}{7}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{15}{7}$

Decimal Form:

$2.\overline{142857}$

Mixed Number Form:

$2 \frac{1}{7}$