Basic Math Examples

$5 - 2 \frac{4}{5}$

Step 1

Convert

$2 \frac{4}{5}$ to an improper fraction.

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Step 1.1

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

$5 - (2 + \frac{4}{5})$

Step 1.2

Add

$2$ and

$\frac{4}{5}$ .

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Step 1.2.1

To write

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

$\frac{5}{5}$ .

$5 - (2 \cdot \frac{5}{5} + \frac{4}{5})$

Step 1.2.2

Combine

$2$ and

$\frac{5}{5}$ .

$5 - (\frac{2 \cdot 5}{5} + \frac{4}{5})$

Step 1.2.3

Combine the numerators over the common denominator.

$5 - \frac{2 \cdot 5 + 4}{5}$

Step 1.2.4

Simplify the numerator.

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Step 1.2.4.1

Multiply

$2$ by

$5$ .

$5 - \frac{10 + 4}{5}$

Step 1.2.4.2

Add

$10$ and

$4$ .

$5 - \frac{14}{5}$

Step 2

To write

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

$\frac{5}{5}$ .

$5 \cdot \frac{5}{5} - \frac{14}{5}$

Step 3

Combine

$5$ and

$\frac{5}{5}$ .

$\frac{5 \cdot 5}{5} - \frac{14}{5}$

Step 4

Combine the numerators over the common denominator.

$\frac{5 \cdot 5 - 14}{5}$

Step 5

Simplify the numerator.

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Step 5.1

Multiply

$5$ by

$5$ .

$\frac{25 - 14}{5}$

Step 5.2

Subtract

$14$ from

$25$ .

$\frac{11}{5}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{11}{5}$

Decimal Form:

$2.2$

Mixed Number Form:

$2 \frac{1}{5}$