Solve 47/11+7/11+1/10

$$4 \frac { 7 } { 11 } + \frac { 7 } { 11 } + \frac { 1 } { 10 }$$

Evaluate

$$\frac{591}{110}\approx 5.372727273$$

Solution Steps

Multiply 4 and 11 to get 44.

$$\frac{44+7}{11}+\frac{7}{11}+\frac{1}{10}$$

Add 44 and 7 to get 51.

$$\frac{51}{11}+\frac{7}{11}+\frac{1}{10}$$

Since \frac{51}{11} and \frac{7}{11} have the same denominator, add them by adding their numerators.

$$\frac{51+7}{11}+\frac{1}{10}$$

Add 51 and 7 to get 58.

$$\frac{58}{11}+\frac{1}{10}$$

Least common multiple of 11 and 10 is 110. Convert \frac{58}{11} and \frac{1}{10} to fractions with denominator 110.

$$\frac{580}{110}+\frac{11}{110}$$

Since \frac{580}{110} and \frac{11}{110} have the same denominator, add them by adding their numerators.

$$\frac{580+11}{110}$$

Add 580 and 11 to get 591.

$$\frac{591}{110}$$

Factor

$$\frac{3 \cdot 197}{2 \cdot 5 \cdot 11} = 5\frac{41}{110} = 5.372727272727273$$