Solve 2/3+1/25+8/9

$$\frac { 2 } { 3 } + \frac { 1 } { 25 } + \frac { 8 } { 9 }$$

Evaluate

$$\frac{359}{225}\approx 1.595555556$$

Solution Steps

Least common multiple of 3 and 25 is 75. Convert \frac{2}{3} and \frac{1}{25} to fractions with denominator 75.

$$\frac{50}{75}+\frac{3}{75}+\frac{8}{9}$$

Since \frac{50}{75} and \frac{3}{75} have the same denominator, add them by adding their numerators.

$$\frac{50+3}{75}+\frac{8}{9}$$

Add 50 and 3 to get 53.

$$\frac{53}{75}+\frac{8}{9}$$

Least common multiple of 75 and 9 is 225. Convert \frac{53}{75} and \frac{8}{9} to fractions with denominator 225.

$$\frac{159}{225}+\frac{200}{225}$$

Since \frac{159}{225} and \frac{200}{225} have the same denominator, add them by adding their numerators.

$$\frac{159+200}{225}$$

Add 159 and 200 to get 359.

$$\frac{359}{225}$$

Factor

$$\frac{359}{3 ^ {2} \cdot 5 ^ {2}} = 1\frac{134}{225} = 1.5955555555555556$$