Pre-Algebra Examples

$\frac{5}{6} \div (- \frac{2}{3})$

Step 1

To divide by a fraction, multiply by its reciprocal.

$\frac{5}{6} (- \frac{3}{2})$

Step 2

Cancel the common factor of $3$ .

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Step 2.1

Move the leading negative in $- \frac{3}{2}$ into the numerator.

$\frac{5}{6} \cdot \frac{- 3}{2}$

Step 2.2

Factor $3$ out of $6$ .

$\frac{5}{3 (2)} \cdot \frac{- 3}{2}$

Step 2.3

Factor $3$ out of $- 3$ .

$\frac{5}{3 \cdot 2} \cdot \frac{3 \cdot - 1}{2}$

Step 2.4

Cancel the common factor.

$\frac{5}{3 \cdot 2} \cdot \frac{3 \cdot - 1}{2}$

Step 2.5

Rewrite the expression.

$\frac{5}{2} \cdot \frac{- 1}{2}$

Step 3

Multiply $\frac{5}{2}$ by $\frac{- 1}{2}$ .

$\frac{5 \cdot - 1}{2 \cdot 2}$

Step 4

Simplify the expression.

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Step 4.1

Multiply $5$ by $- 1$ .

$\frac{- 5}{2 \cdot 2}$

Step 4.2

Multiply $2$ by $2$ .

$\frac{- 5}{4}$

Step 4.3

Move the negative in front of the fraction.

$- \frac{5}{4}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$- \frac{5}{4}$

Decimal Form:

$- 1.25$

Mixed Number Form:

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