Algebra Examples

$3 \frac{1}{3}$

Step 1

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

$3 + \frac{1}{3}$

Step 2

Add $3$ and $\frac{1}{3}$ .

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Step 2.1

To write $3$ as a fraction with a common denominator, multiply by $\frac{3}{3}$ .

$3 \cdot \frac{3}{3} + \frac{1}{3}$

Step 2.2

Combine $3$ and $\frac{3}{3}$ .

$\frac{3 \cdot 3}{3} + \frac{1}{3}$

Step 2.3

Combine the numerators over the common denominator.

$\frac{3 \cdot 3 + 1}{3}$

Step 2.4

Simplify the numerator.

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Step 2.4.1

Multiply $3$ by $3$ .

$\frac{9 + 1}{3}$

Step 2.4.2

Add $9$ and $1$ .

$\frac{10}{3}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{10}{3}$

Decimal Form:

$3.\overline{3}$

Mixed Number Form:

$3 \frac{1}{3}$