Solve 1-4/15-2/5

$$1 - \frac { 4 } { 15 } - \frac { 2 } { 5 }$$

Evaluate

$$\frac{1}{3}\approx 0.333333333$$

Solution Steps

Convert 1 to fraction \frac{15}{15}.

$$\frac{15}{15}-\frac{4}{15}-\frac{2}{5}$$

Since \frac{15}{15} and \frac{4}{15} have the same denominator, subtract them by subtracting their numerators.

$$\frac{15-4}{15}-\frac{2}{5}$$

Subtract 4 from 15 to get 11.

$$\frac{11}{15}-\frac{2}{5}$$

Least common multiple of 15 and 5 is 15. Convert \frac{11}{15} and \frac{2}{5} to fractions with denominator 15.

$$\frac{11}{15}-\frac{6}{15}$$

Since \frac{11}{15} and \frac{6}{15} have the same denominator, subtract them by subtracting their numerators.

$$\frac{11-6}{15}$$

Subtract 6 from 11 to get 5.

$$\frac{5}{15}$$

Reduce the fraction \frac{5}{15} to lowest terms by extracting and canceling out 5.

$$\frac{1}{3}$$

Factor

$$\frac{1}{3} = 0.3333333333333333$$