Algebra Examples

3 \frac{1}{2}

$3 \frac{1}{2}$

Step 1

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

$3 + \frac{1}{2}$

Step 2

Add

$3$ and

$\frac{1}{2}$ .

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Step 2.1

To write

$3$ as a fraction with a common denominator, multiply by

$\frac{2}{2}$ .

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

Step 2.2

Combine

$3$ and

$\frac{2}{2}$ .

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

Step 2.3

Combine the numerators over the common denominator.

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

Step 2.4

Simplify the numerator.

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Step 2.4.1

Multiply

$3$ by

$2$ .

$\frac{6 + 1}{2}$

Step 2.4.2

Add

$6$ and

$1$ .

$\frac{7}{2}$