Solve 25/96+65/26

$$\frac{ 25 }{ 96 } + \frac{ 65 }{ 26 }$$

Evaluate

$$\frac{265}{96}\approx 2.760416667$$

Solution Steps

Reduce the fraction \frac{65}{26} to lowest terms by extracting and canceling out 13.

$$\frac{25}{96}+\frac{5}{2}$$

Least common multiple of 96 and 2 is 96. Convert \frac{25}{96} and \frac{5}{2} to fractions with denominator 96.

$$\frac{25}{96}+\frac{240}{96}$$

Since \frac{25}{96} and \frac{240}{96} have the same denominator, add them by adding their numerators.

$$\frac{25+240}{96}$$

Add 25 and 240 to get 265.

$$\frac{265}{96}$$

Factor

$$\frac{5 \cdot 53}{2 ^ {5} \cdot 3} = 2\frac{73}{96} = 2.7604166666666665$$