Basic Math Examples

$5 \frac{2}{9} \cdot 2$

Step 1

Convert

$5 \frac{2}{9}$ to an improper fraction.

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Step 1.1

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

$(5 + \frac{2}{9}) \cdot 2$

Step 1.2

Add

$5$ and

$\frac{2}{9}$ .

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Step 1.2.1

To write

$5$ as a fraction with a common denominator, multiply by

$\frac{9}{9}$ .

$(5 \cdot \frac{9}{9} + \frac{2}{9}) \cdot 2$

Step 1.2.2

Combine

$5$ and

$\frac{9}{9}$ .

$(\frac{5 \cdot 9}{9} + \frac{2}{9}) \cdot 2$

Step 1.2.3

Combine the numerators over the common denominator.

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

Step 1.2.4

Simplify the numerator.

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Step 1.2.4.1

Multiply

$5$ by

$9$ .

$\frac{45 + 2}{9} \cdot 2$

Step 1.2.4.2

Add

$45$ and

$2$ .

$\frac{47}{9} \cdot 2$

Step 2

Multiply

$\frac{47}{9} \cdot 2$ .

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Step 2.1

Combine

$\frac{47}{9}$ and

$2$ .

$\frac{47 \cdot 2}{9}$

Step 2.2

Multiply

$47$ by

$2$ .

$\frac{94}{9}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{94}{9}$

Decimal Form:

$10.\overline{4}$

Mixed Number Form:

$10 \frac{4}{9}$