Pre-Algebra Examples

2 \frac{5}{8}

$2 \frac{5}{8}$

Step 1

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

2 + \frac{5}{8}

$2 + \frac{5}{8}$

Step 2

Add

2

$2$ and

\frac{5}{8}

$\frac{5}{8}$ .

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Step 2.1

To write

2

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

\frac{8}{8}

$\frac{8}{8}$ .

2 \cdot \frac{8}{8} + \frac{5}{8}

$2 \cdot \frac{8}{8} + \frac{5}{8}$

Step 2.2

Combine

2

$2$ and

\frac{8}{8}

$\frac{8}{8}$ .

\frac{2 \cdot 8}{8} + \frac{5}{8}

$\frac{2 \cdot 8}{8} + \frac{5}{8}$

Step 2.3

Combine the numerators over the common denominator.

\frac{2 \cdot 8 + 5}{8}

$\frac{2 \cdot 8 + 5}{8}$

Step 2.4

Simplify the numerator.

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Step 2.4.1

Multiply

2

$2$ by

8

$8$ .

\frac{16 + 5}{8}

$\frac{16 + 5}{8}$

Step 2.4.2

Add

16

$16$ and

5

$5$ .

\frac{21}{8}

$\frac{21}{8}$

\frac{21}{8}

$\frac{21}{8}$

\frac{21}{8}

$\frac{21}{8}$

Step 3

The result can be shown in multiple forms.

Exact Form:

\frac{21}{8}

$\frac{21}{8}$

Decimal Form:

2.625

$2.625$

Mixed Number Form:

2 \frac{5}{8}

$2 \frac{5}{8}$

2 \frac{5}{8}

$2 \frac{5}{8}$

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