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Simplify (3/10)(-5/9)

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

Step 1

Cancel the common factor of

$3$ .

Move the leading negative in

$- \frac{5}{9}$ into the numerator.

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

Factor

$3$ out of

$9$ .

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

Cancel the common factor.

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

Rewrite the expression.

$\frac{1}{10} \cdot \frac{- 5}{3}$

$\frac{1}{10} \cdot \frac{- 5}{3}$

Step 2

Cancel the common factor of

$5$ .

Factor

$5$ out of

$10$ .

$\frac{1}{5 (2)} \cdot \frac{- 5}{3}$

Factor

$5$ out of

$- 5$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

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

Step 3

Multiply

$\frac{1}{2}$ by

$\frac{- 1}{3}$ .

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

Step 4

Simplify the expression.

Multiply

$2$ by

$3$ .

$\frac{- 1}{6}$

Move the negative in front of the fraction.

$- \frac{1}{6}$

$- \frac{1}{6}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$- \frac{1}{6}$

Decimal Form:

$- 0.1\overline{6}$

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