Solve 7/2+4/3+2/3=

$$\frac { 7 } { 2 } + \frac { 4 } { 3 } + \frac { 2 } { 3 } =$$

Evaluate

$$\frac{11}{2}=5.5$$

Solution Steps

Least common multiple of 2 and 3 is 6. Convert \frac{7}{2} and \frac{4}{3} to fractions with denominator 6.

$$\frac{21}{6}+\frac{8}{6}+\frac{2}{3}$$

Since \frac{21}{6} and \frac{8}{6} have the same denominator, add them by adding their numerators.

$$\frac{21+8}{6}+\frac{2}{3}$$

Add 21 and 8 to get 29.

$$\frac{29}{6}+\frac{2}{3}$$

Least common multiple of 6 and 3 is 6. Convert \frac{29}{6} and \frac{2}{3} to fractions with denominator 6.

$$\frac{29}{6}+\frac{4}{6}$$

Since \frac{29}{6} and \frac{4}{6} have the same denominator, add them by adding their numerators.

$$\frac{29+4}{6}$$

Add 29 and 4 to get 33.

$$\frac{33}{6}$$

Reduce the fraction \frac{33}{6} to lowest terms by extracting and canceling out 3.

$$\frac{11}{2}$$

Factor

$$\frac{11}{2} = 5\frac{1}{2} = 5.5$$