Basic Math Examples

$- \frac{5}{6} \div (- \frac{65}{78})$

Step 1

To divide by a fraction, multiply by its reciprocal.

$- \frac{5}{6} (- \frac{78}{65})$

Step 2

Cancel the common factor of $5$ .

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Step 2.1

Move the leading negative in $- \frac{5}{6}$ into the numerator.

$\frac{- 5}{6} (- \frac{78}{65})$

Step 2.2

Move the leading negative in $- \frac{78}{65}$ into the numerator.

$\frac{- 5}{6} \cdot \frac{- 78}{65}$

Step 2.3

Factor $5$ out of $- 5$ .

$\frac{5 (- 1)}{6} \cdot \frac{- 78}{65}$

Step 2.4

Factor $5$ out of $65$ .

$\frac{5 \cdot - 1}{6} \cdot \frac{- 78}{5 \cdot 13}$

Step 2.5

Cancel the common factor.

$\frac{5 \cdot - 1}{6} \cdot \frac{- 78}{5 \cdot 13}$

Step 2.6

Rewrite the expression.

$\frac{- 1}{6} \cdot \frac{- 78}{13}$

Step 3

Cancel the common factor of $6$ .

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Step 3.1

Factor $6$ out of $- 78$ .

$\frac{- 1}{6} \cdot \frac{6 (- 13)}{13}$

Step 3.2

Cancel the common factor.

$\frac{- 1}{6} \cdot \frac{6 \cdot - 13}{13}$

Step 3.3

Rewrite the expression.

$- \frac{- 13}{13}$

Step 4

Simplify the expression.

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Step 4.1

Divide $- 13$ by $13$ .

$- - 1$

Step 4.2

Multiply $- 1$ by $- 1$ .

$1$