Evaluate 1/27+5/6

$\frac{1}{27} + \frac{5}{6}$

Step 1

To write $\frac{1}{27}$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$\frac{1}{27} \cdot \frac{2}{2} + \frac{5}{6}$

Step 2

To write $\frac{5}{6}$ as a fraction with a common denominator, multiply by $\frac{9}{9}$ .

$\frac{1}{27} \cdot \frac{2}{2} + \frac{5}{6} \cdot \frac{9}{9}$

Step 3

Write each expression with a common denominator of $54$ , by multiplying each by an appropriate factor of $1$ .

Multiply $\frac{1}{27}$ by $\frac{2}{2}$ .

$\frac{2}{27 \cdot 2} + \frac{5}{6} \cdot \frac{9}{9}$

Multiply $27$ by $2$ .

$\frac{2}{54} + \frac{5}{6} \cdot \frac{9}{9}$

Multiply $\frac{5}{6}$ by $\frac{9}{9}$ .

$\frac{2}{54} + \frac{5 \cdot 9}{6 \cdot 9}$

Multiply $6$ by $9$ .

$\frac{2}{54} + \frac{5 \cdot 9}{54}$

Step 4

Combine the numerators over the common denominator.

$\frac{2 + 5 \cdot 9}{54}$

Step 5

Simplify the numerator.

Multiply $5$ by $9$ .

$\frac{2 + 45}{54}$

Add $2$ and $45$ .

$\frac{47}{54}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{47}{54}$

Decimal Form:

$0.8\overline{703}$