Basic Math Examples

$\frac{9}{- 2} - \frac{- 4}{9}$

Step 1

Simplify each term.

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Step 1.1

Move the negative in front of the fraction.

$- \frac{9}{2} - \frac{- 4}{9}$

Step 1.2

Move the negative in front of the fraction.

$- \frac{9}{2} - - \frac{4}{9}$

Step 1.3

Multiply $- - \frac{4}{9}$ .

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Step 1.3.1

Multiply $- 1$ by $- 1$ .

$- \frac{9}{2} + 1 (\frac{4}{9})$

Step 1.3.2

Multiply $\frac{4}{9}$ by $1$ .

$- \frac{9}{2} + \frac{4}{9}$

Step 2

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

$- \frac{9}{2} \cdot \frac{9}{9} + \frac{4}{9}$

Step 3

To write $\frac{4}{9}$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$- \frac{9}{2} \cdot \frac{9}{9} + \frac{4}{9} \cdot \frac{2}{2}$

Step 4

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

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Step 4.1

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

$- \frac{9 \cdot 9}{2 \cdot 9} + \frac{4}{9} \cdot \frac{2}{2}$

Step 4.2

Multiply $2$ by $9$ .

$- \frac{9 \cdot 9}{18} + \frac{4}{9} \cdot \frac{2}{2}$

Step 4.3

Multiply $\frac{4}{9}$ by $\frac{2}{2}$ .

$- \frac{9 \cdot 9}{18} + \frac{4 \cdot 2}{9 \cdot 2}$

Step 4.4

Multiply $9$ by $2$ .

$- \frac{9 \cdot 9}{18} + \frac{4 \cdot 2}{18}$

Step 5

Combine the numerators over the common denominator.

$\frac{- 9 \cdot 9 + 4 \cdot 2}{18}$

Step 6

Simplify the numerator.

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Step 6.1

Multiply $- 9$ by $9$ .

$\frac{- 81 + 4 \cdot 2}{18}$

Step 6.2

Multiply $4$ by $2$ .

$\frac{- 81 + 8}{18}$

Step 6.3

Add $- 81$ and $8$ .

$\frac{- 73}{18}$

Step 7

Move the negative in front of the fraction.

$- \frac{73}{18}$

Step 8

The result can be shown in multiple forms.

Exact Form:

$- \frac{73}{18}$

Decimal Form:

$- 4.0\overline{5}$

Mixed Number Form:

$- 4 \frac{1}{18}$