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Evaluate (-2/198)(100)

$(\frac{- 2}{198}) (100)$

Step 1

Cancel the common factor of $2$ .

Factor $2$ out of $198$ .

$\frac{- 2}{2 (99)} \cdot 100$

Factor $2$ out of $100$ .

$\frac{- 2}{2 \cdot 99} \cdot (2 \cdot 50)$

Cancel the common factor.

$\frac{- 2}{2 \cdot 99} \cdot (2 \cdot 50)$

Rewrite the expression.

$\frac{- 2}{99} \cdot 50$

$\frac{- 2}{99} \cdot 50$

Step 2

Combine $\frac{- 2}{99}$ and $50$ .

$\frac{- 2 \cdot 50}{99}$

Step 3

Simplify the expression.

Multiply $- 2$ by $50$ .

$\frac{- 100}{99}$

Move the negative in front of the fraction.

$- \frac{100}{99}$

$- \frac{100}{99}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$- \frac{100}{99}$

Decimal Form:

$- 1.\overline{01}$

Mixed Number Form:

$- 1 \frac{1}{99}$

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