Pre-Algebra Examples

$- \frac{3}{8} \div \frac{7}{12}$

Step 1

To divide by a fraction, multiply by its reciprocal.

$- \frac{3}{8} \cdot \frac{12}{7}$

Step 2

Cancel the common factor of $4$ .

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Step 2.1

Move the leading negative in $- \frac{3}{8}$ into the numerator.

$\frac{- 3}{8} \cdot \frac{12}{7}$

Step 2.2

Factor $4$ out of $8$ .

$\frac{- 3}{4 (2)} \cdot \frac{12}{7}$

Step 2.3

Factor $4$ out of $12$ .

$\frac{- 3}{4 \cdot 2} \cdot \frac{4 \cdot 3}{7}$

Step 2.4

Cancel the common factor.

$\frac{- 3}{4 \cdot 2} \cdot \frac{4 \cdot 3}{7}$

Step 2.5

Rewrite the expression.

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

Step 3

Multiply $\frac{- 3}{2}$ by $\frac{3}{7}$ .

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

Step 4

Simplify the expression.

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Step 4.1

Multiply $- 3$ by $3$ .

$\frac{- 9}{2 \cdot 7}$

Step 4.2

Multiply $2$ by $7$ .

$\frac{- 9}{14}$

Step 4.3

Move the negative in front of the fraction.

$- \frac{9}{14}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$- \frac{9}{14}$

Decimal Form:

$- 0.6\overline{428571}$