Pre-Algebra Examples

$- \frac{3}{4} \div 6$

Step 1

Rewrite the division as a fraction.

$\frac{- \frac{3}{4}}{6}$

Step 2

Multiply the numerator by the reciprocal of the denominator.

$- \frac{3}{4} \cdot \frac{1}{6}$

Step 3

Cancel the common factor of $3$ .

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Step 3.1

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

$\frac{- 3}{4} \cdot \frac{1}{6}$

Step 3.2

Factor $3$ out of $- 3$ .

$\frac{3 (- 1)}{4} \cdot \frac{1}{6}$

Step 3.3

Factor $3$ out of $6$ .

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

Step 3.4

Cancel the common factor.

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

Step 3.5

Rewrite the expression.

$\frac{- 1}{4} \cdot \frac{1}{2}$

Step 4

Multiply $\frac{- 1}{4}$ by $\frac{1}{2}$ .

$\frac{- 1}{4 \cdot 2}$

Step 5

Simplify the expression.

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Step 5.1

Multiply $4$ by $2$ .

$\frac{- 1}{8}$

Step 5.2

Move the negative in front of the fraction.

$- \frac{1}{8}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$- \frac{1}{8}$

Decimal Form:

$- 0.125$