Solve 19*left(1/10-1/2015right)

$$19 \times \left( \frac{ 1 }{ 10 } - \frac{ 1 }{ 2015 } \right)$$

Evaluate

$$\frac{7619}{4030}\approx 1.89057072$$

Solution Steps

Least common multiple of 10 and 2015 is 4030. Convert \frac{1}{10} and \frac{1}{2015} to fractions with denominator 4030.

$$19\left(\frac{403}{4030}-\frac{2}{4030}\right)$$

Since \frac{403}{4030} and \frac{2}{4030} have the same denominator, subtract them by subtracting their numerators.

$$19\times \frac{403-2}{4030}$$

Subtract 2 from 403 to get 401.

$$19\times \frac{401}{4030}$$

Express 19\times \frac{401}{4030} as a single fraction.

$$\frac{19\times 401}{4030}$$

Multiply 19 and 401 to get 7619.

$$\frac{7619}{4030}$$

Factor

$$\frac{19 \cdot 401}{2 \cdot 5 \cdot 13 \cdot 31} = 1\frac{3589}{4030} = 1.8905707196029777$$