Basic Math Examples

$5 - 2 \frac{1}{3}$

Step 1

Convert

$2 \frac{1}{3}$ to an improper fraction.

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Step 1.1

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

$5 - (2 + \frac{1}{3})$

Step 1.2

Add

$2$ and

$\frac{1}{3}$ .

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Step 1.2.1

To write

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

$\frac{3}{3}$ .

$5 - (2 \cdot \frac{3}{3} + \frac{1}{3})$

Step 1.2.2

Combine

$2$ and

$\frac{3}{3}$ .

$5 - (\frac{2 \cdot 3}{3} + \frac{1}{3})$

Step 1.2.3

Combine the numerators over the common denominator.

$5 - \frac{2 \cdot 3 + 1}{3}$

Step 1.2.4

Simplify the numerator.

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Step 1.2.4.1

Multiply

$2$ by

$3$ .

$5 - \frac{6 + 1}{3}$

Step 1.2.4.2

Add

$6$ and

$1$ .

$5 - \frac{7}{3}$

Step 2

To write

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

$\frac{3}{3}$ .

$5 \cdot \frac{3}{3} - \frac{7}{3}$

Step 3

Combine

$5$ and

$\frac{3}{3}$ .

$\frac{5 \cdot 3}{3} - \frac{7}{3}$

Step 4

Combine the numerators over the common denominator.

$\frac{5 \cdot 3 - 7}{3}$

Step 5

Simplify the numerator.

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Step 5.1

Multiply

$5$ by

$3$ .

$\frac{15 - 7}{3}$

Step 5.2

Subtract

$7$ from

$15$ .

$\frac{8}{3}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{8}{3}$

Decimal Form:

$2.\overline{6}$

Mixed Number Form:

$2 \frac{2}{3}$