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

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

Evaluate

$$\frac{61}{15}\approx 4.066666667$$

Solution Steps

Least common multiple of 5 and 3 is 15. Convert \frac{4}{5} and \frac{5}{3} to fractions with denominator 15.

$$\frac{12}{15}+\frac{25}{15}+\frac{8}{5}$$

Since \frac{12}{15} and \frac{25}{15} have the same denominator, add them by adding their numerators.

$$\frac{12+25}{15}+\frac{8}{5}$$

Add 12 and 25 to get 37.

$$\frac{37}{15}+\frac{8}{5}$$

Least common multiple of 15 and 5 is 15. Convert \frac{37}{15} and \frac{8}{5} to fractions with denominator 15.

$$\frac{37}{15}+\frac{24}{15}$$

Since \frac{37}{15} and \frac{24}{15} have the same denominator, add them by adding their numerators.

$$\frac{37+24}{15}$$

Add 37 and 24 to get 61.

$$\frac{61}{15}$$

Factor

$$\frac{61}{3 \cdot 5} = 4\frac{1}{15} = 4.066666666666666$$