Solve (2/59+25/41)+(-25/71)=

$$( \frac { 2 } { 59 } + \frac { 25 } { 41 } ) + ( - \frac { 25 } { 71 } ) =$$

Evaluate

$$\frac{50072}{171749}\approx 0.291541727$$

Solution Steps

Least common multiple of 59 and 41 is 2419. Convert \frac{2}{59} and \frac{25}{41} to fractions with denominator 2419.

$$\frac{82}{2419}+\frac{1475}{2419}-\frac{25}{71}$$

Since \frac{82}{2419} and \frac{1475}{2419} have the same denominator, add them by adding their numerators.

$$\frac{82+1475}{2419}-\frac{25}{71}$$

Add 82 and 1475 to get 1557.

$$\frac{1557}{2419}-\frac{25}{71}$$

Least common multiple of 2419 and 71 is 171749. Convert \frac{1557}{2419} and \frac{25}{71} to fractions with denominator 171749.

$$\frac{110547}{171749}-\frac{60475}{171749}$$

Since \frac{110547}{171749} and \frac{60475}{171749} have the same denominator, subtract them by subtracting their numerators.

$$\frac{110547-60475}{171749}$$

Subtract 60475 from 110547 to get 50072.

$$\frac{50072}{171749}$$

Factor

$$\frac{2 ^ {3} \cdot 11 \cdot 569}{41 \cdot 59 \cdot 71} = 0.2915417265893833$$