Basic Math Examples

$2 \cdot 2 \frac{1}{5}$

Step 1

Convert

$2 \frac{1}{5}$ to an improper fraction.

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Step 1.1

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

$2 \cdot (2 + \frac{1}{5})$

Step 1.2

Add

$2$ and

$\frac{1}{5}$ .

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Step 1.2.1

To write

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

$\frac{5}{5}$ .

$2 \cdot (2 \cdot \frac{5}{5} + \frac{1}{5})$

Step 1.2.2

Combine

$2$ and

$\frac{5}{5}$ .

$2 \cdot (\frac{2 \cdot 5}{5} + \frac{1}{5})$

Step 1.2.3

Combine the numerators over the common denominator.

$2 \cdot \frac{2 \cdot 5 + 1}{5}$

Step 1.2.4

Simplify the numerator.

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Step 1.2.4.1

Multiply

$2$ by

$5$ .

$2 \cdot \frac{10 + 1}{5}$

Step 1.2.4.2

Add

$10$ and

$1$ .

$2 \cdot \frac{11}{5}$

Step 2

Multiply

$2 (\frac{11}{5})$ .

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Step 2.1

Combine

$2$ and

$\frac{11}{5}$ .

$\frac{2 \cdot 11}{5}$

Step 2.2

Multiply

$2$ by

$11$ .

$\frac{22}{5}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{22}{5}$

Decimal Form:

$4.4$

Mixed Number Form:

$4 \frac{2}{5}$