Basic Math Examples

2 \frac{1}{9} \cdot 2

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

Step 1

Convert

2 \frac{1}{9}

$2 \frac{1}{9}$ to an improper fraction.

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Step 1.1

A mixed number is an addition of its whole and fractional parts.

(2 + \frac{1}{9}) \cdot 2

$(2 + \frac{1}{9}) \cdot 2$

Step 1.2

Add

2

$2$ and

\frac{1}{9}

$\frac{1}{9}$ .

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Step 1.2.1

To write

2

$2$ as a fraction with a common denominator, multiply by

\frac{9}{9}

$\frac{9}{9}$ .

(2 \cdot \frac{9}{9} + \frac{1}{9}) \cdot 2

$(2 \cdot \frac{9}{9} + \frac{1}{9}) \cdot 2$

Step 1.2.2

Combine

2

$2$ and

\frac{9}{9}

$\frac{9}{9}$ .

(\frac{2 \cdot 9}{9} + \frac{1}{9}) \cdot 2

$(\frac{2 \cdot 9}{9} + \frac{1}{9}) \cdot 2$

Step 1.2.3

Combine the numerators over the common denominator.

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

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

Step 1.2.4

Simplify the numerator.

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Step 1.2.4.1

Multiply

2

$2$ by

9

$9$ .

\frac{18 + 1}{9} \cdot 2

$\frac{18 + 1}{9} \cdot 2$

Step 1.2.4.2

Add

18

$18$ and

1

$1$ .

\frac{19}{9} \cdot 2

$\frac{19}{9} \cdot 2$

\frac{19}{9} \cdot 2

$\frac{19}{9} \cdot 2$

\frac{19}{9} \cdot 2

$\frac{19}{9} \cdot 2$

\frac{19}{9} \cdot 2

$\frac{19}{9} \cdot 2$

Step 2

Multiply

\frac{19}{9} \cdot 2

$\frac{19}{9} \cdot 2$ .

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Step 2.1

Combine

\frac{19}{9}

$\frac{19}{9}$ and

2

$2$ .

\frac{19 \cdot 2}{9}

$\frac{19 \cdot 2}{9}$

Step 2.2

Multiply

19

$19$ by

2

$2$ .

\frac{38}{9}

$\frac{38}{9}$

\frac{38}{9}

$\frac{38}{9}$

Step 3

The result can be shown in multiple forms.

Exact Form:

\frac{38}{9}

$\frac{38}{9}$

Decimal Form:

4.\overline{2}

$4.\overline{2}$

Mixed Number Form:

4 \frac{2}{9}

$4 \frac{2}{9}$