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

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

Evaluate

$$\frac{2}{59}\approx 0.033898305$$

Solution Steps

Least common multiple of 59 and 71 is 4189. Convert \frac{2}{59} and \frac{25}{71} to fractions with denominator 4189.

$$\frac{142}{4189}+\frac{1475}{4189}-\frac{25}{71}$$

Since \frac{142}{4189} and \frac{1475}{4189} have the same denominator, add them by adding their numerators.

$$\frac{142+1475}{4189}-\frac{25}{71}$$

Add 142 and 1475 to get 1617.

$$\frac{1617}{4189}-\frac{25}{71}$$

Least common multiple of 4189 and 71 is 4189. Convert \frac{1617}{4189} and \frac{25}{71} to fractions with denominator 4189.

$$\frac{1617}{4189}-\frac{1475}{4189}$$

Since \frac{1617}{4189} and \frac{1475}{4189} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1617-1475}{4189}$$

Subtract 1475 from 1617 to get 142.

$$\frac{142}{4189}$$

Reduce the fraction \frac{142}{4189} to lowest terms by extracting and canceling out 71.

$$\frac{2}{59}$$

Factor

$$\frac{2}{59} = 0.03389830508474576$$