Basic Math Examples

$\frac{- 10^{2}}{- 10^{2} + 1}$

Step 1

Raise $10$ to the power of $2$ .

$\frac{- 1 \cdot 100}{- 10^{2} + 1}$

Step 2

Simplify the denominator.

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Step 2.1

Raise $10$ to the power of $2$ .

$\frac{- 1 \cdot 100}{- 1 \cdot 100 + 1}$

Step 2.2

Multiply $- 1$ by $100$ .

$\frac{- 1 \cdot 100}{- 100 + 1}$

Step 2.3

Add $- 100$ and $1$ .

$\frac{- 1 \cdot 100}{- 99}$

Step 3

Reduce the expression by cancelling the common factors.

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Step 3.1

Multiply $- 1$ by $100$ .

$\frac{- 100}{- 99}$

Step 3.2

Dividing two negative values results in a positive value.

$\frac{100}{99}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{100}{99}$

Decimal Form:

$1.\overline{01}$

Mixed Number Form:

$1 \frac{1}{99}$