Solve (7/11+8/3)+10/3

$$( \frac { 7 } { 11 } + \frac { 8 } { 3 } ) + \frac { 10 } { 3 }$$

Evaluate

$$\frac{73}{11}\approx 6.636363636$$

Solution Steps

Least common multiple of 11 and 3 is 33. Convert \frac{7}{11} and \frac{8}{3} to fractions with denominator 33.

$$\frac{21}{33}+\frac{88}{33}+\frac{10}{3}$$

Since \frac{21}{33} and \frac{88}{33} have the same denominator, add them by adding their numerators.

$$\frac{21+88}{33}+\frac{10}{3}$$

Add 21 and 88 to get 109.

$$\frac{109}{33}+\frac{10}{3}$$

Least common multiple of 33 and 3 is 33. Convert \frac{109}{33} and \frac{10}{3} to fractions with denominator 33.

$$\frac{109}{33}+\frac{110}{33}$$

Since \frac{109}{33} and \frac{110}{33} have the same denominator, add them by adding their numerators.

$$\frac{109+110}{33}$$

Add 109 and 110 to get 219.

$$\frac{219}{33}$$

Reduce the fraction \frac{219}{33} to lowest terms by extracting and canceling out 3.

$$\frac{73}{11}$$

Factor

$$\frac{73}{11} = 6\frac{7}{11} = 6.636363636363637$$