Basic Math Examples

$\frac{\frac{- 1}{6}}{\frac{13}{15}}$

Step 1

Multiply the numerator by the reciprocal of the denominator.

$\frac{- 1}{6} \cdot \frac{15}{13}$

Step 2

Cancel the common factor of $3$ .

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Step 2.1

Factor $3$ out of $6$ .

$\frac{- 1}{3 (2)} \cdot \frac{15}{13}$

Step 2.2

Factor $3$ out of $15$ .

$\frac{- 1}{3 \cdot 2} \cdot \frac{3 \cdot 5}{13}$

Step 2.3

Cancel the common factor.

$\frac{- 1}{3 \cdot 2} \cdot \frac{3 \cdot 5}{13}$

Step 2.4

Rewrite the expression.

$\frac{- 1}{2} \cdot \frac{5}{13}$

Step 3

Multiply $\frac{- 1}{2}$ by $\frac{5}{13}$ .

$\frac{- 1 \cdot 5}{2 \cdot 13}$

Step 4

Simplify the expression.

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Step 4.1

Multiply $- 1$ by $5$ .

$\frac{- 5}{2 \cdot 13}$

Step 4.2

Multiply $2$ by $13$ .

$\frac{- 5}{26}$

Step 4.3

Move the negative in front of the fraction.

$- \frac{5}{26}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$- \frac{5}{26}$

Decimal Form:

$- 0.1\overline{923076}$