Solve 1+2/3/1-1/6

$$\frac { 1 + 2 / 3 } { 1 - 1 / 6 }$$

Evaluate

$$2$$

Solution Steps

Convert 1 to fraction \frac{3}{3}.

$$\frac{\frac{3}{3}+\frac{2}{3}}{1-\frac{1}{6}}$$

Since \frac{3}{3} and \frac{2}{3} have the same denominator, add them by adding their numerators.

$$\frac{\frac{3+2}{3}}{1-\frac{1}{6}}$$

Add 3 and 2 to get 5.

$$\frac{\frac{5}{3}}{1-\frac{1}{6}}$$

Convert 1 to fraction \frac{6}{6}.

$$\frac{\frac{5}{3}}{\frac{6}{6}-\frac{1}{6}}$$

Since \frac{6}{6} and \frac{1}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{5}{3}}{\frac{6-1}{6}}$$

Subtract 1 from 6 to get 5.

$$\frac{\frac{5}{3}}{\frac{5}{6}}$$

Divide \frac{5}{3} by \frac{5}{6} by multiplying \frac{5}{3} by the reciprocal of \frac{5}{6}.

$$\frac{5}{3}\times \frac{6}{5}$$

Multiply \frac{5}{3} times \frac{6}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{5\times 6}{3\times 5}$$

Cancel out 5 in both numerator and denominator.

$$\frac{6}{3}$$

Divide 6 by 3 to get 2.

$$2$$

Factor

$$2$$