Basic Math Examples

$\frac{14}{9} + \frac{13}{9} - 2 + \frac{2}{9} - 5$

Step 1

Combine the numerators over the common denominator.

$- 2 - 5 + \frac{14 + 13 + 2}{9}$

Step 2

Simplify by adding numbers.

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Step 2.1

Add $14$ and $13$ .

$- 2 - 5 + \frac{27 + 2}{9}$

Step 2.2

Add $27$ and $2$ .

$- 2 - 5 + \frac{29}{9}$

Step 3

Find the common denominator.

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Step 3.1

Write $- 2$ as a fraction with denominator $1$ .

$\frac{- 2}{1} - 5 + \frac{29}{9}$

Step 3.2

Multiply $\frac{- 2}{1}$ by $\frac{9}{9}$ .

$\frac{- 2}{1} \cdot \frac{9}{9} - 5 + \frac{29}{9}$

Step 3.3

Multiply $\frac{- 2}{1}$ by $\frac{9}{9}$ .

$\frac{- 2 \cdot 9}{9} - 5 + \frac{29}{9}$

Step 3.4

Write $- 5$ as a fraction with denominator $1$ .

$\frac{- 2 \cdot 9}{9} + \frac{- 5}{1} + \frac{29}{9}$

Step 3.5

Multiply $\frac{- 5}{1}$ by $\frac{9}{9}$ .

$\frac{- 2 \cdot 9}{9} + \frac{- 5}{1} \cdot \frac{9}{9} + \frac{29}{9}$

Step 3.6

Multiply $\frac{- 5}{1}$ by $\frac{9}{9}$ .

$\frac{- 2 \cdot 9}{9} + \frac{- 5 \cdot 9}{9} + \frac{29}{9}$

Step 4

Combine the numerators over the common denominator.

$\frac{- 2 \cdot 9 - 5 \cdot 9 + 29}{9}$

Step 5

Simplify each term.

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Step 5.1

Multiply $- 2$ by $9$ .

$\frac{- 18 - 5 \cdot 9 + 29}{9}$

Step 5.2

Multiply $- 5$ by $9$ .

$\frac{- 18 - 45 + 29}{9}$

Step 6

Simplify the expression.

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Step 6.1

Subtract $45$ from $- 18$ .

$\frac{- 63 + 29}{9}$

Step 6.2

Add $- 63$ and $29$ .

$\frac{- 34}{9}$

Step 6.3

Move the negative in front of the fraction.

$- \frac{34}{9}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$- \frac{34}{9}$

Decimal Form:

$- 3.\overline{7}$

Mixed Number Form:

$- 3 \frac{7}{9}$