Solve 19/15div2-1/5

$$\frac { 19 } { 15 } \div 2 - \frac { 1 } { 5 }$$

Evaluate

$$\frac{13}{30}\approx 0.433333333$$

Solution Steps

Express \frac{\frac{19}{15}}{2} as a single fraction.

$$\frac{19}{15\times 2}-\frac{1}{5}$$

Multiply 15 and 2 to get 30.

$$\frac{19}{30}-\frac{1}{5}$$

Least common multiple of 30 and 5 is 30. Convert \frac{19}{30} and \frac{1}{5} to fractions with denominator 30.

$$\frac{19}{30}-\frac{6}{30}$$

Since \frac{19}{30} and \frac{6}{30} have the same denominator, subtract them by subtracting their numerators.

$$\frac{19-6}{30}$$

Subtract 6 from 19 to get 13.

$$\frac{13}{30}$$

Factor

$$\frac{13}{2 \cdot 3 \cdot 5} = 0.43333333333333335$$