Solve 5/6+3/4+2/3=

$$\frac { 5 } { 6 } + \frac { 3 } { 4 } + \frac { 2 } { 3 } =$$

Evaluate

$$\frac{9}{4}=2.25$$

Solution Steps

Least common multiple of 6 and 4 is 12. Convert \frac{5}{6} and \frac{3}{4} to fractions with denominator 12.

$$\frac{10}{12}+\frac{9}{12}+\frac{2}{3}$$

Since \frac{10}{12} and \frac{9}{12} have the same denominator, add them by adding their numerators.

$$\frac{10+9}{12}+\frac{2}{3}$$

Add 10 and 9 to get 19.

$$\frac{19}{12}+\frac{2}{3}$$

Least common multiple of 12 and 3 is 12. Convert \frac{19}{12} and \frac{2}{3} to fractions with denominator 12.

$$\frac{19}{12}+\frac{8}{12}$$

Since \frac{19}{12} and \frac{8}{12} have the same denominator, add them by adding their numerators.

$$\frac{19+8}{12}$$

Add 19 and 8 to get 27.

$$\frac{27}{12}$$

Reduce the fraction \frac{27}{12} to lowest terms by extracting and canceling out 3.

$$\frac{9}{4}$$

Factor

$$\frac{3 ^ {2}}{2 ^ {2}} = 2\frac{1}{4} = 2.25$$