Solve 1477/1455+251/195

$$\frac{ 1477 }{ 1455 } + \frac{ 251 }{ 195 }$$

Evaluate

$$\frac{14516}{6305}\approx 2.302299762$$

Solution Steps

Least common multiple of 1455 and 195 is 18915. Convert \frac{1477}{1455} and \frac{251}{195} to fractions with denominator 18915.

$$\frac{19201}{18915}+\frac{24347}{18915}$$

Since \frac{19201}{18915} and \frac{24347}{18915} have the same denominator, add them by adding their numerators.

$$\frac{19201+24347}{18915}$$

Add 19201 and 24347 to get 43548.

$$\frac{43548}{18915}$$

Reduce the fraction \frac{43548}{18915} to lowest terms by extracting and canceling out 3.

$$\frac{14516}{6305}$$

Factor

$$\frac{2 ^ {2} \cdot 19 \cdot 191}{5 \cdot 13 \cdot 97} = 2\frac{1906}{6305} = 2.3022997620935763$$