Basic Math Examples

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

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

Step 1

Combine the numerators over the common denominator.

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

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

Step 2

Simplify by adding numbers.

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Step 2.1

Add

14

$14$ and

13

$13$ .

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

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

Step 2.2

Add

27

$27$ and

2

$2$ .

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

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

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

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

Step 3

Find the common denominator.

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Step 3.1

Write

- 2

$- 2$ as a fraction with denominator

1

$1$ .

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

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

Step 3.2

Multiply

\frac{- 2}{1}

$\frac{- 2}{1}$ by

\frac{9}{9}

$\frac{9}{9}$ .

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

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

Step 3.3

Multiply

\frac{- 2}{1}

$\frac{- 2}{1}$ by

\frac{9}{9}

$\frac{9}{9}$ .

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

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

Step 3.4

Write

- 5

$- 5$ as a fraction with denominator

1

$1$ .

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

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

Step 3.5

Multiply

\frac{- 5}{1}

$\frac{- 5}{1}$ by

\frac{9}{9}

$\frac{9}{9}$ .

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

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

Step 3.6

Multiply

\frac{- 5}{1}

$\frac{- 5}{1}$ by

\frac{9}{9}

$\frac{9}{9}$ .

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

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

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

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

Step 5

Simplify each term.

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Step 5.1

Multiply

- 2

$- 2$ by

9

$9$ .

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

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

Step 5.2

Multiply

- 5

$- 5$ by

9

$9$ .

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

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

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

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

Step 6

Simplify the expression.

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Step 6.1

Subtract

45

$45$ from

- 18

$- 18$ .

\frac{- 63 + 29}{9}

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

Step 6.2

Add

- 63

$- 63$ and

29

$29$ .

\frac{- 34}{9}

$\frac{- 34}{9}$

Step 6.3

Move the negative in front of the fraction.

- \frac{34}{9}

$- \frac{34}{9}$

- \frac{34}{9}

$- \frac{34}{9}$

Step 7

The result can be shown in multiple forms.

Exact Form:

- \frac{34}{9}

$- \frac{34}{9}$

Decimal Form:

- 3.\overline{7}

$- 3.\overline{7}$

Mixed Number Form:

- 3 \frac{7}{9}

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