Simplify 7/27+1/6

$\frac{7}{27} + \frac{1}{6}$

To write $\frac{7}{27}$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$\frac{7}{27} \cdot \frac{2}{2} + \frac{1}{6}$

To write $\frac{1}{6}$ as a fraction with a common denominator, multiply by $\frac{9}{9}$ .

$\frac{7}{27} \cdot \frac{2}{2} + \frac{1}{6} \cdot \frac{9}{9}$

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

Multiply $\frac{7}{27}$ by $\frac{2}{2}$ .

$\frac{7 \cdot 2}{27 \cdot 2} + \frac{1}{6} \cdot \frac{9}{9}$

Multiply $27$ by $2$ .

$\frac{7 \cdot 2}{54} + \frac{1}{6} \cdot \frac{9}{9}$

Multiply $\frac{1}{6}$ by $\frac{9}{9}$ .

$\frac{7 \cdot 2}{54} + \frac{9}{6 \cdot 9}$

Multiply $6$ by $9$ .

$\frac{7 \cdot 2}{54} + \frac{9}{54}$

Combine the numerators over the common denominator.

$\frac{7 \cdot 2 + 9}{54}$

Simplify the numerator.

Multiply $7$ by $2$ .

$\frac{14 + 9}{54}$

Add $14$ and $9$ .

$\frac{23}{54}$

The result can be shown in multiple forms.

Exact Form:

$\frac{23}{54}$

Decimal Form:

$0.4\overline{259}$