Finite Math Examples

$\frac{30}{100} \cdot (\frac{22}{60}) + \frac{5}{100} \cdot (1) + \frac{15}{100} \cdot (1) + \frac{50}{100} x$

Step 1

Simplify and reorder the polynomial.

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Step 1.1

Simplify each term.

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Step 1.1.1

Cancel the common factor of $30$ .

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Step 1.1.1.1

Factor $30$ out of $60$ .

$\frac{30}{100} \cdot \frac{22}{30 (2)} + \frac{5}{100} \cdot (1) + \frac{15}{100} \cdot (1) + \frac{50}{100} x$

Step 1.1.1.2

Cancel the common factor.

$\frac{30}{100} \cdot \frac{22}{30 \cdot 2} + \frac{5}{100} \cdot (1) + \frac{15}{100} \cdot (1) + \frac{50}{100} x$

Step 1.1.1.3

Rewrite the expression.

$\frac{1}{100} \cdot \frac{22}{2} + \frac{5}{100} \cdot (1) + \frac{15}{100} \cdot (1) + \frac{50}{100} x$

Step 1.1.2

Cancel the common factor of $2$ .

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Step 1.1.2.1

Factor $2$ out of $100$ .

$\frac{1}{2 (50)} \cdot \frac{22}{2} + \frac{5}{100} \cdot (1) + \frac{15}{100} \cdot (1) + \frac{50}{100} x$

Step 1.1.2.2

Factor $2$ out of $22$ .

$\frac{1}{2 \cdot 50} \cdot \frac{2 \cdot 11}{2} + \frac{5}{100} \cdot (1) + \frac{15}{100} \cdot (1) + \frac{50}{100} x$

Step 1.1.2.3

Cancel the common factor.

$\frac{1}{2 \cdot 50} \cdot \frac{2 \cdot 11}{2} + \frac{5}{100} \cdot (1) + \frac{15}{100} \cdot (1) + \frac{50}{100} x$

Step 1.1.2.4

Rewrite the expression.

$\frac{1}{50} \cdot \frac{11}{2} + \frac{5}{100} \cdot (1) + \frac{15}{100} \cdot (1) + \frac{50}{100} x$

Step 1.1.3

Multiply $\frac{1}{50}$ by $\frac{11}{2}$ .

$\frac{11}{50 \cdot 2} + \frac{5}{100} \cdot (1) + \frac{15}{100} \cdot (1) + \frac{50}{100} x$

Step 1.1.4

Multiply $50$ by $2$ .

$\frac{11}{100} + \frac{5}{100} \cdot (1) + \frac{15}{100} \cdot (1) + \frac{50}{100} x$

Step 1.1.5

Cancel the common factor of $5$ and $100$ .

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Step 1.1.5.1

Factor $5$ out of $5$ .

$\frac{11}{100} + \frac{5 (1)}{100} \cdot 1 + \frac{15}{100} \cdot (1) + \frac{50}{100} x$

Step 1.1.5.2

Cancel the common factors.

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Step 1.1.5.2.1

Factor $5$ out of $100$ .

$\frac{11}{100} + \frac{5 \cdot 1}{5 \cdot 20} \cdot 1 + \frac{15}{100} \cdot (1) + \frac{50}{100} x$

Step 1.1.5.2.2

Cancel the common factor.

$\frac{11}{100} + \frac{5 \cdot 1}{5 \cdot 20} \cdot 1 + \frac{15}{100} \cdot (1) + \frac{50}{100} x$

Step 1.1.5.2.3

Rewrite the expression.

$\frac{11}{100} + \frac{1}{20} \cdot 1 + \frac{15}{100} \cdot (1) + \frac{50}{100} x$

Step 1.1.6

Multiply $\frac{1}{20}$ by $1$ .

$\frac{11}{100} + \frac{1}{20} + \frac{15}{100} \cdot (1) + \frac{50}{100} x$

Step 1.1.7

Cancel the common factor of $15$ and $100$ .

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Step 1.1.7.1

Factor $5$ out of $15$ .

$\frac{11}{100} + \frac{1}{20} + \frac{5 (3)}{100} \cdot 1 + \frac{50}{100} x$

Step 1.1.7.2

Cancel the common factors.

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Step 1.1.7.2.1

Factor $5$ out of $100$ .

$\frac{11}{100} + \frac{1}{20} + \frac{5 \cdot 3}{5 \cdot 20} \cdot 1 + \frac{50}{100} x$

Step 1.1.7.2.2

Cancel the common factor.

$\frac{11}{100} + \frac{1}{20} + \frac{5 \cdot 3}{5 \cdot 20} \cdot 1 + \frac{50}{100} x$

Step 1.1.7.2.3

Rewrite the expression.

$\frac{11}{100} + \frac{1}{20} + \frac{3}{20} \cdot 1 + \frac{50}{100} x$

Step 1.1.8

Multiply $\frac{3}{20}$ by $1$ .

$\frac{11}{100} + \frac{1}{20} + \frac{3}{20} + \frac{50}{100} x$

Step 1.1.9

Cancel the common factor of $50$ and $100$ .

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Step 1.1.9.1

Factor $50$ out of $50$ .

$\frac{11}{100} + \frac{1}{20} + \frac{3}{20} + \frac{50 (1)}{100} x$

Step 1.1.9.2

Cancel the common factors.

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Step 1.1.9.2.1

Factor $50$ out of $100$ .

$\frac{11}{100} + \frac{1}{20} + \frac{3}{20} + \frac{50 \cdot 1}{50 \cdot 2} x$

Step 1.1.9.2.2

Cancel the common factor.

$\frac{11}{100} + \frac{1}{20} + \frac{3}{20} + \frac{50 \cdot 1}{50 \cdot 2} x$

Step 1.1.9.2.3

Rewrite the expression.

$\frac{11}{100} + \frac{1}{20} + \frac{3}{20} + \frac{1}{2} x$

Step 1.1.10

Combine $\frac{1}{2}$ and $x$ .

$\frac{11}{100} + \frac{1}{20} + \frac{3}{20} + \frac{x}{2}$

Step 1.2

Simplify terms.

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Step 1.2.1

Combine the numerators over the common denominator.

$\frac{11}{100} + \frac{1 + 3}{20} + \frac{x}{2}$

Step 1.2.2

Add $1$ and $3$ .

$\frac{11}{100} + \frac{4}{20} + \frac{x}{2}$

Step 1.2.3

Cancel the common factor of $4$ and $20$ .

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Step 1.2.3.1

Factor $4$ out of $4$ .

$\frac{11}{100} + \frac{4 (1)}{20} + \frac{x}{2}$

Step 1.2.3.2

Cancel the common factors.

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Step 1.2.3.2.1

Factor $4$ out of $20$ .

$\frac{11}{100} + \frac{4 \cdot 1}{4 \cdot 5} + \frac{x}{2}$

Step 1.2.3.2.2

Cancel the common factor.

$\frac{11}{100} + \frac{4 \cdot 1}{4 \cdot 5} + \frac{x}{2}$

Step 1.2.3.2.3

Rewrite the expression.

$\frac{11}{100} + \frac{1}{5} + \frac{x}{2}$

Step 1.3

To write $\frac{1}{5}$ as a fraction with a common denominator, multiply by $\frac{20}{20}$ .

$\frac{11}{100} + \frac{1}{5} \cdot \frac{20}{20} + \frac{x}{2}$

Step 1.4

Write each expression with a common denominator of $100$ , by multiplying each by an appropriate factor of $1$ .

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Step 1.4.1

Multiply $\frac{1}{5}$ by $\frac{20}{20}$ .

$\frac{11}{100} + \frac{20}{5 \cdot 20} + \frac{x}{2}$

Step 1.4.2

Multiply $5$ by $20$ .

$\frac{11}{100} + \frac{20}{100} + \frac{x}{2}$

Step 1.5

Combine the numerators over the common denominator.

$\frac{11 + 20}{100} + \frac{x}{2}$

Step 1.6

Add $11$ and $20$ .

$\frac{31}{100} + \frac{x}{2}$

Step 2

Identify the exponents on the variables in each term, and add them together to find the degree of each term.

$\frac{31}{100} \to 0$

$\frac{x}{2} \to 1$

Step 3

The largest exponent is the degree of the polynomial.

$1$