Solve 1-1/5-1/6

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

Evaluate

$$\frac{19}{30}\approx 0.633333333$$

Solution Steps

Convert 1 to fraction \frac{5}{5}.

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

Since \frac{5}{5} and \frac{1}{5} have the same denominator, subtract them by subtracting their numerators.

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

Subtract 1 from 5 to get 4.

$$\frac{4}{5}-\frac{1}{6}$$

Least common multiple of 5 and 6 is 30. Convert \frac{4}{5} and \frac{1}{6} to fractions with denominator 30.

$$\frac{24}{30}-\frac{5}{30}$$

Since \frac{24}{30} and \frac{5}{30} have the same denominator, subtract them by subtracting their numerators.

$$\frac{24-5}{30}$$

Subtract 5 from 24 to get 19.

$$\frac{19}{30}$$

Factor

$$\frac{19}{2 \cdot 3 \cdot 5} = 0.6333333333333333$$