Algebra Examples

$27 \frac{2}{3}$

Step 1

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

$27 + \frac{2}{3}$

Step 2

Add $27$ and $\frac{2}{3}$ .

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Step 2.1

To write $27$ as a fraction with a common denominator, multiply by $\frac{3}{3}$ .

$27 \cdot \frac{3}{3} + \frac{2}{3}$

Step 2.2

Combine $27$ and $\frac{3}{3}$ .

$\frac{27 \cdot 3}{3} + \frac{2}{3}$

Step 2.3

Combine the numerators over the common denominator.

$\frac{27 \cdot 3 + 2}{3}$

Step 2.4

Simplify the numerator.

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Step 2.4.1

Multiply $27$ by $3$ .

$\frac{81 + 2}{3}$

Step 2.4.2

Add $81$ and $2$ .

$\frac{83}{3}$