Basic Math Examples

$- \frac{1}{5} \cdot \frac{3}{22} \cdot \frac{11}{15}$

Step 1

Multiply $- \frac{1}{5} \cdot \frac{3}{22}$ .

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Step 1.1

Multiply $\frac{3}{22}$ by $\frac{1}{5}$ .

$- \frac{3}{22 \cdot 5} \cdot \frac{11}{15}$

Step 1.2

Multiply $22$ by $5$ .

$- \frac{3}{110} \cdot \frac{11}{15}$

Step 2

Cancel the common factor of $3$ .

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Step 2.1

Move the leading negative in $- \frac{3}{110}$ into the numerator.

$\frac{- 3}{110} \cdot \frac{11}{15}$

Step 2.2

Factor $3$ out of $- 3$ .

$\frac{3 (- 1)}{110} \cdot \frac{11}{15}$

Step 2.3

Factor $3$ out of $15$ .

$\frac{3 \cdot - 1}{110} \cdot \frac{11}{3 \cdot 5}$

Step 2.4

Cancel the common factor.

$\frac{3 \cdot - 1}{110} \cdot \frac{11}{3 \cdot 5}$

Step 2.5

Rewrite the expression.

$\frac{- 1}{110} \cdot \frac{11}{5}$

Step 3

Cancel the common factor of $11$ .

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Step 3.1

Factor $11$ out of $110$ .

$\frac{- 1}{11 (10)} \cdot \frac{11}{5}$

Step 3.2

Cancel the common factor.

$\frac{- 1}{11 \cdot 10} \cdot \frac{11}{5}$

Step 3.3

Rewrite the expression.

$\frac{- 1}{10} \cdot \frac{1}{5}$

Step 4

Multiply $\frac{- 1}{10}$ by $\frac{1}{5}$ .

$\frac{- 1}{10 \cdot 5}$

Step 5

Simplify the expression.

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Step 5.1

Multiply $10$ by $5$ .

$\frac{- 1}{50}$

Step 5.2

Move the negative in front of the fraction.

$- \frac{1}{50}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$- \frac{1}{50}$

Decimal Form:

$- 0.02$