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

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

Evaluate

$$\frac{25}{12}\approx 2.083333333$$

Solution Steps

Least common multiple of 6 and 4 is 12. Convert \frac{1}{6} and \frac{5}{4} to fractions with denominator 12.

$$\frac{2}{12}+\frac{15}{12}+\frac{6}{9}$$

Since \frac{2}{12} and \frac{15}{12} have the same denominator, add them by adding their numerators.

$$\frac{2+15}{12}+\frac{6}{9}$$

Add 2 and 15 to get 17.

$$\frac{17}{12}+\frac{6}{9}$$

Reduce the fraction \frac{6}{9} to lowest terms by extracting and canceling out 3.

$$\frac{17}{12}+\frac{2}{3}$$

Least common multiple of 12 and 3 is 12. Convert \frac{17}{12} and \frac{2}{3} to fractions with denominator 12.

$$\frac{17}{12}+\frac{8}{12}$$

Since \frac{17}{12} and \frac{8}{12} have the same denominator, add them by adding their numerators.

$$\frac{17+8}{12}$$

Add 17 and 8 to get 25.

$$\frac{25}{12}$$

Factor

$$\frac{5 ^ {2}}{2 ^ {2} \cdot 3} = 2\frac{1}{12} = 2.0833333333333335$$