Basic Math Examples

7 \frac{2}{3}

$7 \frac{2}{3}$

Step 1

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

7 + \frac{2}{3}

$7 + \frac{2}{3}$

Step 2

Add

7

$7$ and

\frac{2}{3}

$\frac{2}{3}$ .

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Step 2.1

To write

7

$7$ as a fraction with a common denominator, multiply by

\frac{3}{3}

$\frac{3}{3}$ .

7 \cdot \frac{3}{3} + \frac{2}{3}

$7 \cdot \frac{3}{3} + \frac{2}{3}$

Step 2.2

Combine

7

$7$ and

\frac{3}{3}

$\frac{3}{3}$ .

\frac{7 \cdot 3}{3} + \frac{2}{3}

$\frac{7 \cdot 3}{3} + \frac{2}{3}$

Step 2.3

Combine the numerators over the common denominator.

\frac{7 \cdot 3 + 2}{3}

$\frac{7 \cdot 3 + 2}{3}$

Step 2.4

Simplify the numerator.

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Step 2.4.1

Multiply

7

$7$ by

3

$3$ .

\frac{21 + 2}{3}

$\frac{21 + 2}{3}$

Step 2.4.2

Add

21

$21$ and

2

$2$ .

\frac{23}{3}

$\frac{23}{3}$

\frac{23}{3}

$\frac{23}{3}$

\frac{23}{3}

$\frac{23}{3}$

Step 3

The result can be shown in multiple forms.

Exact Form:

\frac{23}{3}

$\frac{23}{3}$

Decimal Form:

7.\overline{6}

$7.\overline{6}$

Mixed Number Form:

7 \frac{2}{3}

$7 \frac{2}{3}$