Pre-Algebra Examples

$- \frac{15}{8} \div (- \frac{3}{14})$

Step 1

To divide by a fraction, multiply by its reciprocal.

$- \frac{15}{8} (- \frac{14}{3})$

Step 2

Cancel the common factor of $3$ .

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Step 2.1

Move the leading negative in $- \frac{15}{8}$ into the numerator.

$\frac{- 15}{8} (- \frac{14}{3})$

Step 2.2

Move the leading negative in $- \frac{14}{3}$ into the numerator.

$\frac{- 15}{8} \cdot \frac{- 14}{3}$

Step 2.3

Factor $3$ out of $- 15$ .

$\frac{3 (- 5)}{8} \cdot \frac{- 14}{3}$

Step 2.4

Cancel the common factor.

$\frac{3 \cdot - 5}{8} \cdot \frac{- 14}{3}$

Step 2.5

Rewrite the expression.

$\frac{- 5}{8} \cdot - 14$

Step 3

Cancel the common factor of $2$ .

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Step 3.1

Factor $2$ out of $8$ .

$\frac{- 5}{2 (4)} \cdot - 14$

Step 3.2

Factor $2$ out of $- 14$ .

$\frac{- 5}{2 \cdot 4} \cdot (2 \cdot - 7)$

Step 3.3

Cancel the common factor.

$\frac{- 5}{2 \cdot 4} \cdot (2 \cdot - 7)$

Step 3.4

Rewrite the expression.

$\frac{- 5}{4} \cdot - 7$

Step 4

Combine $\frac{- 5}{4}$ and $- 7$ .

$\frac{- 5 \cdot - 7}{4}$

Step 5

Multiply $- 5$ by $- 7$ .

$\frac{35}{4}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{35}{4}$

Decimal Form:

$8.75$

Mixed Number Form:

$8 \frac{3}{4}$