Algebra Examples

8 \frac{1}{3}

$8 \frac{1}{3}$

Step 1

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

8 + \frac{1}{3}

$8 + \frac{1}{3}$

Step 2

Add

8

$8$ and

\frac{1}{3}

$\frac{1}{3}$ .

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Step 2.1

To write

8

$8$ as a fraction with a common denominator, multiply by

\frac{3}{3}

$\frac{3}{3}$ .

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

$8 \cdot \frac{3}{3} + \frac{1}{3}$

Step 2.2

Combine

8

$8$ and

\frac{3}{3}

$\frac{3}{3}$ .

\frac{8 \cdot 3}{3} + \frac{1}{3}

$\frac{8 \cdot 3}{3} + \frac{1}{3}$

Step 2.3

Combine the numerators over the common denominator.

\frac{8 \cdot 3 + 1}{3}

$\frac{8 \cdot 3 + 1}{3}$

Step 2.4

Simplify the numerator.

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Step 2.4.1

Multiply

8

$8$ by

3

$3$ .

\frac{24 + 1}{3}

$\frac{24 + 1}{3}$

Step 2.4.2

Add

24

$24$ and

1

$1$ .

\frac{25}{3}

$\frac{25}{3}$

\frac{25}{3}

$\frac{25}{3}$

\frac{25}{3}

$\frac{25}{3}$

8 \frac{1}{3}

$8 \frac{1}{3}$

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