Finite Math Examples

$\frac{- 17}{81} - \frac{7}{9}$

Step 1

Move the negative in front of the fraction.

$- \frac{17}{81} - \frac{7}{9}$

Step 2

To write $- \frac{7}{9}$ as a fraction with a common denominator, multiply by $\frac{9}{9}$ .

$- \frac{17}{81} - \frac{7}{9} \cdot \frac{9}{9}$

Step 3

Write each expression with a common denominator of $81$ , by multiplying each by an appropriate factor of $1$ .

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Step 3.1

Multiply $\frac{7}{9}$ by $\frac{9}{9}$ .

$- \frac{17}{81} - \frac{7 \cdot 9}{9 \cdot 9}$

Step 3.2

Multiply $9$ by $9$ .

$- \frac{17}{81} - \frac{7 \cdot 9}{81}$

Step 4

Combine the numerators over the common denominator.

$\frac{- 17 - 7 \cdot 9}{81}$

Step 5

Simplify the numerator.

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Step 5.1

Multiply $- 7$ by $9$ .

$\frac{- 17 - 63}{81}$

Step 5.2

Subtract $63$ from $- 17$ .

$\frac{- 80}{81}$

Step 6

Move the negative in front of the fraction.

$- \frac{80}{81}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$- \frac{80}{81}$

Decimal Form:

$- 0.98765432 \dots$