Algebra Examples

$- \frac{4}{3} \div 12$

Step 1

Rewrite the division as a fraction.

$\frac{- \frac{4}{3}}{12}$

Step 2

Multiply the numerator by the reciprocal of the denominator.

$- \frac{4}{3} \cdot \frac{1}{12}$

Step 3

Cancel the common factor of $4$ .

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Step 3.1

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

$\frac{- 4}{3} \cdot \frac{1}{12}$

Step 3.2

Factor $4$ out of $- 4$ .

$\frac{4 (- 1)}{3} \cdot \frac{1}{12}$

Step 3.3

Factor $4$ out of $12$ .

$\frac{4 \cdot - 1}{3} \cdot \frac{1}{4 \cdot 3}$

Step 3.4

Cancel the common factor.

$\frac{4 \cdot - 1}{3} \cdot \frac{1}{4 \cdot 3}$

Step 3.5

Rewrite the expression.

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

Step 4

Multiply $\frac{- 1}{3}$ by $\frac{1}{3}$ .

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

Step 5

Multiply $3$ by $3$ .

$\frac{- 1}{9}$

Step 6

Move the negative in front of the fraction.

$- \frac{1}{9}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$- \frac{1}{9}$

Decimal Form:

$- 0.\overline{1}$