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Evaluate (1/5)(-5/3)

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

Step 1

Cancel the common factor of $5$ .

Move the leading negative in $- \frac{5}{3}$ into the numerator.

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

Factor $5$ out of $- 5$ .

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

Cancel the common factor.

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

Rewrite the expression.

$\frac{- 1}{3}$

$\frac{- 1}{3}$

Step 2

Move the negative in front of the fraction.

$- \frac{1}{3}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$- \frac{1}{3}$

Decimal Form:

$- 0.\overline{3}$

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