Solve 1/4+2/9+2/3

$$\frac { 1 } { 4 } + \frac { 2 } { 9 } + \frac { 2 } { 3 }$$

Evaluate

$$\frac{41}{36}\approx 1.138888889$$

Solution Steps

Least common multiple of 4 and 9 is 36. Convert \frac{1}{4} and \frac{2}{9} to fractions with denominator 36.

$$\frac{9}{36}+\frac{8}{36}+\frac{2}{3}$$

Since \frac{9}{36} and \frac{8}{36} have the same denominator, add them by adding their numerators.

$$\frac{9+8}{36}+\frac{2}{3}$$

Add 9 and 8 to get 17.

$$\frac{17}{36}+\frac{2}{3}$$

Least common multiple of 36 and 3 is 36. Convert \frac{17}{36} and \frac{2}{3} to fractions with denominator 36.

$$\frac{17}{36}+\frac{24}{36}$$

Since \frac{17}{36} and \frac{24}{36} have the same denominator, add them by adding their numerators.

$$\frac{17+24}{36}$$

Add 17 and 24 to get 41.

$$\frac{41}{36}$$

Factor

$$\frac{41}{2 ^ {2} \cdot 3 ^ {2}} = 1\frac{5}{36} = 1.1388888888888888$$