Finite Math Examples

$\frac{420000}{490000 + 120000 + 420000}$

Step 1

Cancel the common factor of $420000$ and $490000 + 120000 + 420000$ .

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Step 1.1

Factor $10000$ out of $420000$ .

$\frac{10000 (42)}{490000 + 120000 + 420000}$

Step 1.2

Cancel the common factors.

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Step 1.2.1

Factor $10000$ out of $490000$ .

$\frac{10000 \cdot 42}{10000 \cdot 49 + 120000 + 420000}$

Step 1.2.2

Factor $10000$ out of $120000$ .

$\frac{10000 (42)}{10000 \cdot 49 + 10000 \cdot 12 + 420000}$

Step 1.2.3

Factor $10000$ out of $10000 \cdot 49 + 10000 \cdot 12$ .

$\frac{10000 (42)}{10000 \cdot (49 + 12) + 420000}$

Step 1.2.4

Factor $10000$ out of $420000$ .

$\frac{10000 \cdot 42}{10000 \cdot (49 + 12) + 10000 \cdot 42}$

Step 1.2.5

Factor $10000$ out of $10000 \cdot (49 + 12) + 10000 (42)$ .

$\frac{10000 (42)}{10000 \cdot (49 + 12 + 42)}$

Step 1.2.6

Cancel the common factor.

$\frac{10000 \cdot 42}{10000 \cdot (49 + 12 + 42)}$

Step 1.2.7

Rewrite the expression.

$\frac{42}{49 + 12 + 42}$

Step 2

Simplify the denominator.

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Step 2.1

Add $49$ and $12$ .

$\frac{42}{61 + 42}$

Step 2.2

Add $61$ and $42$ .

$\frac{42}{103}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{42}{103}$

Decimal Form:

$0.40776699 \dots$