Algebra Examples

$\frac{5}{3} \cdot (- \frac{6}{7})$

Step 1

Cancel the common factor of $3$ .

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Step 1.1

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

$\frac{5}{3} \cdot \frac{- 6}{7}$

Step 1.2

Factor $3$ out of $- 6$ .

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

Step 1.3

Cancel the common factor.

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

Step 1.4

Rewrite the expression.

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

Step 2

Combine $5$ and $\frac{- 2}{7}$ .

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

Step 3

Simplify the expression.

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Step 3.1

Multiply $5$ by $- 2$ .

$\frac{- 10}{7}$

Step 3.2

Move the negative in front of the fraction.

$- \frac{10}{7}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$- \frac{10}{7}$

Decimal Form:

$- 1.\overline{428571}$

Mixed Number Form:

$- 1 \frac{3}{7}$