Solve 2/3+6/9+1/2+9/4

$$\frac { 2 } { 3 } + \frac { 6 } { 9 } + \frac { 1 } { 2 } + \frac { 9 } { 4 }$$

Evaluate

$$\frac{49}{12}\approx 4.083333333$$

Solution Steps

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

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

Since \frac{2}{3} and \frac{2}{3} have the same denominator, add them by adding their numerators.

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

Add 2 and 2 to get 4.

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

Least common multiple of 3 and 2 is 6. Convert \frac{4}{3} and \frac{1}{2} to fractions with denominator 6.

$$\frac{8}{6}+\frac{3}{6}+\frac{9}{4}$$

Since \frac{8}{6} and \frac{3}{6} have the same denominator, add them by adding their numerators.

$$\frac{8+3}{6}+\frac{9}{4}$$

Add 8 and 3 to get 11.

$$\frac{11}{6}+\frac{9}{4}$$

Least common multiple of 6 and 4 is 12. Convert \frac{11}{6} and \frac{9}{4} to fractions with denominator 12.

$$\frac{22}{12}+\frac{27}{12}$$

Since \frac{22}{12} and \frac{27}{12} have the same denominator, add them by adding their numerators.

$$\frac{22+27}{12}$$

Add 22 and 27 to get 49.

$$\frac{49}{12}$$

Factor

$$\frac{7 ^ {2}}{2 ^ {2} \cdot 3} = 4\frac{1}{12} = 4.083333333333333$$