Algebra Examples

6 \frac{2}{3}

$6 \frac{2}{3}$

Step 1

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

6 + \frac{2}{3}

$6 + \frac{2}{3}$

Step 2

Add

6

$6$ and

\frac{2}{3}

$\frac{2}{3}$ .

Tap for more steps...

Step 2.1

To write

6

$6$ as a fraction with a common denominator, multiply by

\frac{3}{3}

$\frac{3}{3}$ .

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

$6 \cdot \frac{3}{3} + \frac{2}{3}$

Step 2.2

Combine

6

$6$ and

\frac{3}{3}

$\frac{3}{3}$ .

\frac{6 \cdot 3}{3} + \frac{2}{3}

$\frac{6 \cdot 3}{3} + \frac{2}{3}$

Step 2.3

Combine the numerators over the common denominator.

\frac{6 \cdot 3 + 2}{3}

$\frac{6 \cdot 3 + 2}{3}$

Step 2.4

Simplify the numerator.

Tap for more steps...

Step 2.4.1

Multiply

6

$6$ by

3

$3$ .

\frac{18 + 2}{3}

$\frac{18 + 2}{3}$

Step 2.4.2

Add

18

$18$ and

2

$2$ .

\frac{20}{3}

$\frac{20}{3}$

\frac{20}{3}

$\frac{20}{3}$

\frac{20}{3}

$\frac{20}{3}$