Basic Math Examples

$\frac{- 5}{18 a} \cdot \frac{20 a}{3 b}$

Step 1

Cancel the common factor of $2 a$ .

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Step 1.1

Factor $2 a$ out of $18 a$ .

$\frac{- 5}{2 a (9)} \cdot \frac{20 a}{3 b}$

Step 1.2

Factor $2 a$ out of $20 a$ .

$\frac{- 5}{2 a (9)} \cdot \frac{2 a (10)}{3 b}$

Step 1.3

Cancel the common factor.

$\frac{- 5}{2 a \cdot 9} \cdot \frac{2 a \cdot 10}{3 b}$

Step 1.4

Rewrite the expression.

$\frac{- 5}{9} \cdot \frac{10}{3 b}$

Step 2

Multiply $\frac{- 5}{9}$ by $\frac{10}{3 b}$ .

$\frac{- 5 \cdot 10}{9 (3 b)}$

Step 3

Simplify the expression.

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Step 3.1

Multiply $- 5$ by $10$ .

$\frac{- 50}{9 (3 b)}$

Step 3.2

Multiply $3$ by $9$ .

$\frac{- 50}{27 b}$

Step 3.3

Move the negative in front of the fraction.

$- \frac{50}{27 b}$