Solve 3/5+7/4+11/5

$$\frac{ 3 }{ 5 } + \frac{ 7 }{ 4 } + \frac{ 11 }{ 5 }$$

Evaluate

$$\frac{91}{20}=4.55$$

Solution Steps

Least common multiple of 5 and 4 is 20. Convert \frac{3}{5} and \frac{7}{4} to fractions with denominator 20.

$$\frac{12}{20}+\frac{35}{20}+\frac{11}{5}$$

Since \frac{12}{20} and \frac{35}{20} have the same denominator, add them by adding their numerators.

$$\frac{12+35}{20}+\frac{11}{5}$$

Add 12 and 35 to get 47.

$$\frac{47}{20}+\frac{11}{5}$$

Least common multiple of 20 and 5 is 20. Convert \frac{47}{20} and \frac{11}{5} to fractions with denominator 20.

$$\frac{47}{20}+\frac{44}{20}$$

Since \frac{47}{20} and \frac{44}{20} have the same denominator, add them by adding their numerators.

$$\frac{47+44}{20}$$

Add 47 and 44 to get 91.

$$\frac{91}{20}$$

Factor

$$\frac{7 \cdot 13}{2 ^ {2} \cdot 5} = 4\frac{11}{20} = 4.55$$