Basic Math Examples

\frac{10}{12} \cdot \frac{- 5}{11}

$\frac{10}{12} \cdot \frac{- 5}{11}$

Step 1

Cancel the common factor of

10

$10$ and

12

$12$ .

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Step 1.1

Factor

2

$2$ out of

10

$10$ .

\frac{2 (5)}{12} \cdot \frac{- 5}{11}

$\frac{2 (5)}{12} \cdot \frac{- 5}{11}$

Step 1.2

Cancel the common factors.

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Step 1.2.1

Factor

2

$2$ out of

12

$12$ .

\frac{2 \cdot 5}{2 \cdot 6} \cdot \frac{- 5}{11}

$\frac{2 \cdot 5}{2 \cdot 6} \cdot \frac{- 5}{11}$

Step 1.2.2

Cancel the common factor.

$\frac{2 \cdot 5}{2 \cdot 6} \cdot \frac{- 5}{11}$

Step 1.2.3

Rewrite the expression.

$\frac{5}{6} \cdot \frac{- 5}{11}$

Step 2

Move the negative in front of the fraction.

$\frac{5}{6} \cdot (- \frac{5}{11})$

Step 3

Multiply

$\frac{5}{6} (- \frac{5}{11})$ .

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Step 3.1

Multiply

$\frac{5}{6}$ by

$\frac{5}{11}$ .

$- \frac{5 \cdot 5}{6 \cdot 11}$

Step 3.2

Multiply

$5$ by

$5$ .

$- \frac{25}{6 \cdot 11}$

Step 3.3

Multiply

$6$ by

$11$ .

$- \frac{25}{66}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$- \frac{25}{66}$

Decimal Form:

$- 0.3\overline{78}$