Solve 8/5+3/6+5/4

$$\frac { 8 } { 5 } + \frac { 3 } { 6 } + \frac { 5 } { 4 }$$

Evaluate

$$\frac{67}{20}=3.35$$

Solution Steps

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

$$\frac{8}{5}+\frac{1}{2}+\frac{5}{4}$$

Least common multiple of 5 and 2 is 10. Convert \frac{8}{5} and \frac{1}{2} to fractions with denominator 10.

$$\frac{16}{10}+\frac{5}{10}+\frac{5}{4}$$

Since \frac{16}{10} and \frac{5}{10} have the same denominator, add them by adding their numerators.

$$\frac{16+5}{10}+\frac{5}{4}$$

Add 16 and 5 to get 21.

$$\frac{21}{10}+\frac{5}{4}$$

Least common multiple of 10 and 4 is 20. Convert \frac{21}{10} and \frac{5}{4} to fractions with denominator 20.

$$\frac{42}{20}+\frac{25}{20}$$

Since \frac{42}{20} and \frac{25}{20} have the same denominator, add them by adding their numerators.

$$\frac{42+25}{20}$$

Add 42 and 25 to get 67.

$$\frac{67}{20}$$

Factor

$$\frac{67}{2 ^ {2} \cdot 5} = 3\frac{7}{20} = 3.35$$