Algebra Examples

5 \frac{1}{2}

$5 \frac{1}{2}$

Step 1

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

5 + \frac{1}{2}

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

Step 2

Add

5

$5$ and

\frac{1}{2}

$\frac{1}{2}$ .

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Step 2.1

To write

5

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

\frac{2}{2}

$\frac{2}{2}$ .

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

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

Step 2.2

Combine

5

$5$ and

\frac{2}{2}

$\frac{2}{2}$ .

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

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

Step 2.3

Combine the numerators over the common denominator.

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

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

Step 2.4

Simplify the numerator.

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Step 2.4.1

Multiply

5

$5$ by

2

$2$ .

\frac{10 + 1}{2}

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

Step 2.4.2

Add

10

$10$ and

1

$1$ .

\frac{11}{2}

$\frac{11}{2}$

\frac{11}{2}

$\frac{11}{2}$

\frac{11}{2}

$\frac{11}{2}$

Step 3

The result can be shown in multiple forms.

Exact Form:

\frac{11}{2}

$\frac{11}{2}$

Decimal Form:

5.5

$5.5$

Mixed Number Form:

5 \frac{1}{2}

$5 \frac{1}{2}$