Solve 1/2+3/5+5/4=

$$\frac { 1 } { 2 } + \frac { 3 } { 5 } + \frac { 5 } { 4 } =$$

Evaluate

$$\frac{47}{20}=2.35$$

Solution Steps

Least common multiple of 2 and 5 is 10. Convert \frac{1}{2} and \frac{3}{5} to fractions with denominator 10.

$$\frac{5}{10}+\frac{6}{10}+\frac{5}{4}$$

Since \frac{5}{10} and \frac{6}{10} have the same denominator, add them by adding their numerators.

$$\frac{5+6}{10}+\frac{5}{4}$$

Add 5 and 6 to get 11.

$$\frac{11}{10}+\frac{5}{4}$$

Least common multiple of 10 and 4 is 20. Convert \frac{11}{10} and \frac{5}{4} to fractions with denominator 20.

$$\frac{22}{20}+\frac{25}{20}$$

Since \frac{22}{20} and \frac{25}{20} have the same denominator, add them by adding their numerators.

$$\frac{22+25}{20}$$

Add 22 and 25 to get 47.

$$\frac{47}{20}$$

Factor

$$\frac{47}{2 ^ {2} \cdot 5} = 2\frac{7}{20} = 2.35$$