Basic Math Examples

$- \frac{1}{2} + \frac{2}{9}$

Step 1

To write

$- \frac{1}{2}$ as a fraction with a common denominator, multiply by

$\frac{9}{9}$ .

$- \frac{1}{2} \cdot \frac{9}{9} + \frac{2}{9}$

Step 2

To write

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

$\frac{2}{2}$ .

$- \frac{1}{2} \cdot \frac{9}{9} + \frac{2}{9} \cdot \frac{2}{2}$

Step 3

Write each expression with a common denominator of

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

$1$ .

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Step 3.1

Multiply

$\frac{1}{2}$ by

$\frac{9}{9}$ .

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

Step 3.2

Multiply

$2$ by

$9$ .

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

Step 3.3

Multiply

$\frac{2}{9}$ by

$\frac{2}{2}$ .

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

Step 3.4

Multiply

$9$ by

$2$ .

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

Step 4

Combine the numerators over the common denominator.

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

Step 5

Simplify the numerator.

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Step 5.1

Multiply

$2$ by

$2$ .

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

Step 5.2

Add

$- 9$ and

$4$ .

$\frac{- 5}{18}$

Step 6

Move the negative in front of the fraction.

$- \frac{5}{18}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$- \frac{5}{18}$

Decimal Form:

$- 0.2\overline{7}$