Finite Math Examples

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

Step 1

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

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

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 $- \frac{5}{6}$ as a fraction with a common denominator, multiply by $\frac{3}{3}$ .

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

Step 2.1.2

To write $- \frac{8}{9}$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

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

Step 2.1.3

Write each expression with a common denominator of $18$ , by multiplying each by an appropriate factor of $1$ .

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Step 2.1.3.1

Multiply $\frac{5}{6}$ by $\frac{3}{3}$ .

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

Step 2.1.3.2

Multiply $6$ by $3$ .

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

Step 2.1.3.3

Multiply $\frac{8}{9}$ by $\frac{2}{2}$ .

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

Step 2.1.3.4

Multiply $9$ by $2$ .

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

Step 2.1.4

Combine the numerators over the common denominator.

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

Step 2.1.5

Simplify the numerator.

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Step 2.1.5.1

Multiply $- 5$ by $3$ .

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

Step 2.1.5.2

Multiply $- 8$ by $2$ .

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

Step 2.1.5.3

Subtract $16$ from $- 15$ .

$\frac{- 31}{18}$

Step 2.1.6

Move the negative in front of the fraction.

$- \frac{31}{18}$

Step 2.2

The expression is constant, which means it can be rewritten with a factor of $x^{0}$ . The degree is the largest exponent on the variable.

$0$

Step 3

A horizontal line does not rise or fall.

Straight line parallel to x-axis

Step 4