Algebra Examples

9 \frac{5}{8}

$9 \frac{5}{8}$

Step 1

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

9 + \frac{5}{8}

$9 + \frac{5}{8}$

Step 2

Add

9

$9$ and

\frac{5}{8}

$\frac{5}{8}$ .

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Step 2.1

To write

9

$9$ as a fraction with a common denominator, multiply by

\frac{8}{8}

$\frac{8}{8}$ .

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

$9 \cdot \frac{8}{8} + \frac{5}{8}$

Step 2.2

Combine

9

$9$ and

\frac{8}{8}

$\frac{8}{8}$ .

\frac{9 \cdot 8}{8} + \frac{5}{8}

$\frac{9 \cdot 8}{8} + \frac{5}{8}$

Step 2.3

Combine the numerators over the common denominator.

\frac{9 \cdot 8 + 5}{8}

$\frac{9 \cdot 8 + 5}{8}$

Step 2.4

Simplify the numerator.

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Step 2.4.1

Multiply

9

$9$ by

8

$8$ .

\frac{72 + 5}{8}

$\frac{72 + 5}{8}$

Step 2.4.2

Add

72

$72$ and

5

$5$ .

\frac{77}{8}

$\frac{77}{8}$

\frac{77}{8}

$\frac{77}{8}$

\frac{77}{8}

$\frac{77}{8}$

9 \frac{5}{8}

$9 \frac{5}{8}$

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