Solve 25/80+20/81

$$\frac{ 25 }{ 80 } + \frac{ 20 }{ 81 }$$

Evaluate

$$\frac{725}{1296}\approx 0.55941358$$

Solution Steps

Reduce the fraction \frac{25}{80} to lowest terms by extracting and canceling out 5.

$$\frac{5}{16}+\frac{20}{81}$$

Least common multiple of 16 and 81 is 1296. Convert \frac{5}{16} and \frac{20}{81} to fractions with denominator 1296.

$$\frac{405}{1296}+\frac{320}{1296}$$

Since \frac{405}{1296} and \frac{320}{1296} have the same denominator, add them by adding their numerators.

$$\frac{405+320}{1296}$$

Add 405 and 320 to get 725.

$$\frac{725}{1296}$$

Factor

$$\frac{5 ^ {2} \cdot 29}{2 ^ {4} \cdot 3 ^ {4}} = 0.5594135802469136$$