Solve 25/58+89/2-35/3

$$\frac{ 25 }{ 58 } + \frac{ 89 }{ 2 } - \frac{ 35 }{ 3 }$$

Evaluate

$$\frac{2894}{87}\approx 33.264367816$$

Solution Steps

Least common multiple of 58 and 2 is 58. Convert \frac{25}{58} and \frac{89}{2} to fractions with denominator 58.

$$\frac{25}{58}+\frac{2581}{58}-\frac{35}{3}$$

Since \frac{25}{58} and \frac{2581}{58} have the same denominator, add them by adding their numerators.

$$\frac{25+2581}{58}-\frac{35}{3}$$

Add 25 and 2581 to get 2606.

$$\frac{2606}{58}-\frac{35}{3}$$

Reduce the fraction \frac{2606}{58} to lowest terms by extracting and canceling out 2.

$$\frac{1303}{29}-\frac{35}{3}$$

Least common multiple of 29 and 3 is 87. Convert \frac{1303}{29} and \frac{35}{3} to fractions with denominator 87.

$$\frac{3909}{87}-\frac{1015}{87}$$

Since \frac{3909}{87} and \frac{1015}{87} have the same denominator, subtract them by subtracting their numerators.

$$\frac{3909-1015}{87}$$

Subtract 1015 from 3909 to get 2894.

$$\frac{2894}{87}$$

Factor

$$\frac{2 \cdot 1447}{3 \cdot 29} = 33\frac{23}{87} = 33.264367816091955$$