Solve 1/5+4/9+1/6

$$\frac { 1 } { 5 } + \frac { 4 } { 9 } + \frac { 1 } { 6 }$$

Evaluate

$$\frac{73}{90}\approx 0.811111111$$

Solution Steps

Least common multiple of 5 and 9 is 45. Convert \frac{1}{5} and \frac{4}{9} to fractions with denominator 45.

$$\frac{9}{45}+\frac{20}{45}+\frac{1}{6}$$

Since \frac{9}{45} and \frac{20}{45} have the same denominator, add them by adding their numerators.

$$\frac{9+20}{45}+\frac{1}{6}$$

Add 9 and 20 to get 29.

$$\frac{29}{45}+\frac{1}{6}$$

Least common multiple of 45 and 6 is 90. Convert \frac{29}{45} and \frac{1}{6} to fractions with denominator 90.

$$\frac{58}{90}+\frac{15}{90}$$

Since \frac{58}{90} and \frac{15}{90} have the same denominator, add them by adding their numerators.

$$\frac{58+15}{90}$$

Add 58 and 15 to get 73.

$$\frac{73}{90}$$

Factor

$$\frac{73}{2 \cdot 3 ^ {2} \cdot 5} = 0.8111111111111111$$