Finite Math Examples

- \frac{5}{6} - \frac{8}{9}

$- \frac{5}{6} - \frac{8}{9}$

Step 1

Write

- \frac{5}{6} - \frac{8}{9}

$- \frac{5}{6} - \frac{8}{9}$ as a function.

f (x) = - \frac{5}{6} - \frac{8}{9}

$f (x) = - \frac{5}{6} - \frac{8}{9}$

Step 2

Identify the degree of the function.

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Step 2.1

Simplify and reorder the polynomial.

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Step 2.1.1

To write

- \frac{5}{6}

$- \frac{5}{6}$ as a fraction with a common denominator, multiply by

\frac{3}{3}

$\frac{3}{3}$ .

- \frac{5}{6} \cdot \frac{3}{3} - \frac{8}{9}

$- \frac{5}{6} \cdot \frac{3}{3} - \frac{8}{9}$

Step 2.1.2

To write

- \frac{8}{9}

$- \frac{8}{9}$ as a fraction with a common denominator, multiply by

\frac{2}{2}

$\frac{2}{2}$ .

- \frac{5}{6} \cdot \frac{3}{3} - \frac{8}{9} \cdot \frac{2}{2}

$- \frac{5}{6} \cdot \frac{3}{3} - \frac{8}{9} \cdot \frac{2}{2}$

Step 2.1.3

Write each expression with a common denominator of

18

$18$ , by multiplying each by an appropriate factor of

1

$1$ .

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Step 2.1.3.1

Multiply

\frac{5}{6}

$\frac{5}{6}$ by

\frac{3}{3}

$\frac{3}{3}$ .

- \frac{5 \cdot 3}{6 \cdot 3} - \frac{8}{9} \cdot \frac{2}{2}

$- \frac{5 \cdot 3}{6 \cdot 3} - \frac{8}{9} \cdot \frac{2}{2}$

Step 2.1.3.2

Multiply

6

$6$ by

3

$3$ .

- \frac{5 \cdot 3}{18} - \frac{8}{9} \cdot \frac{2}{2}

$- \frac{5 \cdot 3}{18} - \frac{8}{9} \cdot \frac{2}{2}$

Step 2.1.3.3

Multiply

\frac{8}{9}

$\frac{8}{9}$ by

\frac{2}{2}

$\frac{2}{2}$ .

- \frac{5 \cdot 3}{18} - \frac{8 \cdot 2}{9 \cdot 2}

$- \frac{5 \cdot 3}{18} - \frac{8 \cdot 2}{9 \cdot 2}$

Step 2.1.3.4

Multiply

9

$9$ by

2

$2$ .

- \frac{5 \cdot 3}{18} - \frac{8 \cdot 2}{18}

$- \frac{5 \cdot 3}{18} - \frac{8 \cdot 2}{18}$

- \frac{5 \cdot 3}{18} - \frac{8 \cdot 2}{18}

$- \frac{5 \cdot 3}{18} - \frac{8 \cdot 2}{18}$

Step 2.1.4

Combine the numerators over the common denominator.

\frac{- 5 \cdot 3 - 8 \cdot 2}{18}

$\frac{- 5 \cdot 3 - 8 \cdot 2}{18}$

Step 2.1.5

Simplify the numerator.

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Step 2.1.5.1

Multiply

- 5

$- 5$ by

3

$3$ .

\frac{- 15 - 8 \cdot 2}{18}

$\frac{- 15 - 8 \cdot 2}{18}$

Step 2.1.5.2

Multiply

- 8

$- 8$ by

2

$2$ .

\frac{- 15 - 16}{18}

$\frac{- 15 - 16}{18}$

Step 2.1.5.3

Subtract

16

$16$ from

- 15

$- 15$ .

\frac{- 31}{18}

$\frac{- 31}{18}$

\frac{- 31}{18}

$\frac{- 31}{18}$

Step 2.1.6

Move the negative in front of the fraction.

- \frac{31}{18}

$- \frac{31}{18}$

- \frac{31}{18}

$- \frac{31}{18}$

Step 2.2

The expression is constant, which means it can be rewritten with a factor of

x^{0}

$x^{0}$ . The degree is the largest exponent on the variable.

0

$0$

0

$0$

Step 3

A horizontal line does not rise or fall.

Straight line parallel to x-axis

Step 4