Finite Math Examples

$m = \frac{737500 - 547500}{50000 - 10000}$

Step 1

Simplify $\frac{737500 - 547500}{50000 - 10000}$ .

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Step 1.1

Cancel the common factor of $737500 - 547500$ and $50000 - 10000$ .

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Step 1.1.1

Factor $2500$ out of $737500$ .

$m = \frac{2500 (295) - 547500}{50000 - 10000}$

Step 1.1.2

Factor $2500$ out of $- 547500$ .

$m = \frac{2500 \cdot 295 + 2500 \cdot - 219}{50000 - 10000}$

Step 1.1.3

Factor $2500$ out of $2500 \cdot 295 + 2500 \cdot - 219$ .

$m = \frac{2500 \cdot (295 - 219)}{50000 - 10000}$

Step 1.1.4

Cancel the common factors.

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Step 1.1.4.1

Factor $2500$ out of $50000$ .

$m = \frac{2500 \cdot (295 - 219)}{2500 (20) - 10000}$

Step 1.1.4.2

Factor $2500$ out of $- 10000$ .

$m = \frac{2500 \cdot (295 - 219)}{2500 \cdot 20 + 2500 \cdot - 4}$

Step 1.1.4.3

Factor $2500$ out of $2500 \cdot 20 + 2500 \cdot - 4$ .

$m = \frac{2500 \cdot (295 - 219)}{2500 \cdot (20 - 4)}$

Step 1.1.4.4

Cancel the common factor.

$m = \frac{2500 \cdot (295 - 219)}{2500 \cdot (20 - 4)}$

Step 1.1.4.5

Rewrite the expression.

$m = \frac{295 - 219}{20 - 4}$

Step 1.2

Simplify by subtracting numbers.

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Step 1.2.1

Subtract $219$ from $295$ .

$m = \frac{76}{20 - 4}$

Step 1.2.2

Subtract $4$ from $20$ .

$m = \frac{76}{16}$

Step 1.3

Cancel the common factor of $76$ and $16$ .

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Step 1.3.1

Factor $4$ out of $76$ .

$m = \frac{4 (19)}{16}$

Step 1.3.2

Cancel the common factors.

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Step 1.3.2.1

Factor $4$ out of $16$ .

$m = \frac{4 \cdot 19}{4 \cdot 4}$

Step 1.3.2.2

Cancel the common factor.

$m = \frac{4 \cdot 19}{4 \cdot 4}$

Step 1.3.2.3

Rewrite the expression.

$m = \frac{19}{4}$

Step 2

The domain is the set of all valid $m$ values.

${m | m = \frac{19}{4}}$

Step 3