Pre-Algebra Examples

$\frac{7}{12} \div (- 1 \frac{1}{6})$

Step 1

Convert $1 \frac{1}{6}$ to an improper fraction.

Tap for more steps...

Step 1.1

A mixed number is an addition of its whole and fractional parts.

$\frac{7}{12} \div (- (1 + \frac{1}{6}))$

Step 1.2

Add $1$ and $\frac{1}{6}$ .

Tap for more steps...

Step 1.2.1

Write $1$ as a fraction with a common denominator.

$\frac{7}{12} \div (- (\frac{6}{6} + \frac{1}{6}))$

Step 1.2.2

Combine the numerators over the common denominator.

$\frac{7}{12} \div (- \frac{6 + 1}{6})$

Step 1.2.3

Add $6$ and $1$ .

$\frac{7}{12} \div (- \frac{7}{6})$

Step 2

To divide by a fraction, multiply by its reciprocal.

$\frac{7}{12} (- \frac{6}{7})$

Step 3

Cancel the common factor of $7$ .

Tap for more steps...

Step 3.1

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

$\frac{7}{12} \cdot \frac{- 6}{7}$

Step 3.2

Cancel the common factor.

$\frac{7}{12} \cdot \frac{- 6}{7}$

Step 3.3

Rewrite the expression.

$\frac{1}{12} \cdot - 6$

Step 4

Cancel the common factor of $6$ .

Tap for more steps...

Step 4.1

Factor $6$ out of $12$ .

$\frac{1}{6 (2)} \cdot - 6$

Step 4.2

Factor $6$ out of $- 6$ .

$\frac{1}{6 \cdot 2} \cdot (6 \cdot - 1)$

Step 4.3

Cancel the common factor.

$\frac{1}{6 \cdot 2} \cdot (6 \cdot - 1)$

Step 4.4

Rewrite the expression.

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

Step 5

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

$\frac{- 1}{2}$

Step 6

Move the negative in front of the fraction.

$- \frac{1}{2}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$- \frac{1}{2}$

Decimal Form:

$- 0.5$