Finite Math Examples

$- 99999 (\frac{20}{10000000}) + 1 (\frac{9999980}{10000000})$

Step 1

Simplify each term.

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Step 1.1

Cancel the common factor of $20$ and $10000000$ .

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Step 1.1.1

Factor $20$ out of $20$ .

$- 99999 \frac{20 (1)}{10000000} + 1 (\frac{9999980}{10000000})$

Step 1.1.2

Cancel the common factors.

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Step 1.1.2.1

Factor $20$ out of $10000000$ .

$- 99999 \frac{20 \cdot 1}{20 \cdot 500000} + 1 (\frac{9999980}{10000000})$

Step 1.1.2.2

Cancel the common factor.

$- 99999 \frac{20 \cdot 1}{20 \cdot 500000} + 1 (\frac{9999980}{10000000})$

Step 1.1.2.3

Rewrite the expression.

$- 99999 (\frac{1}{500000}) + 1 (\frac{9999980}{10000000})$

Step 1.2

Combine $- 99999$ and $\frac{1}{500000}$ .

$\frac{- 99999}{500000} + 1 (\frac{9999980}{10000000})$

Step 1.3

Move the negative in front of the fraction.

$- \frac{99999}{500000} + 1 (\frac{9999980}{10000000})$

Step 1.4

Multiply $\frac{9999980}{10000000}$ by $1$ .

$- \frac{99999}{500000} + \frac{9999980}{10000000}$

Step 1.5

Cancel the common factor of $9999980$ and $10000000$ .

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Step 1.5.1

Factor $20$ out of $9999980$ .

$- \frac{99999}{500000} + \frac{20 (499999)}{10000000}$

Step 1.5.2

Cancel the common factors.

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Step 1.5.2.1

Factor $20$ out of $10000000$ .

$- \frac{99999}{500000} + \frac{20 \cdot 499999}{20 \cdot 500000}$

Step 1.5.2.2

Cancel the common factor.

$- \frac{99999}{500000} + \frac{20 \cdot 499999}{20 \cdot 500000}$

Step 1.5.2.3

Rewrite the expression.

$- \frac{99999}{500000} + \frac{499999}{500000}$

Step 2

Simplify terms.

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Step 2.1

Combine the numerators over the common denominator.

$\frac{- 99999 + 499999}{500000}$

Step 2.2

Add $- 99999$ and $499999$ .

$\frac{400000}{500000}$

Step 2.3

Cancel the common factor of $400000$ and $500000$ .

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Step 2.3.1

Factor $100000$ out of $400000$ .

$\frac{100000 (4)}{500000}$

Step 2.3.2

Cancel the common factors.

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Step 2.3.2.1

Factor $100000$ out of $500000$ .

$\frac{100000 \cdot 4}{100000 \cdot 5}$

Step 2.3.2.2

Cancel the common factor.

$\frac{100000 \cdot 4}{100000 \cdot 5}$

Step 2.3.2.3

Rewrite the expression.

$\frac{4}{5}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{4}{5}$

Decimal Form:

$0.8$