Solve 5/15+8/5+3/205

$$\frac { 5 } { 15 } + \frac { 8 } { 5 } + \frac { 3 } { 205 }$$

Evaluate

$$\frac{1198}{615}\approx 1.94796748$$

Solution Steps

Reduce the fraction \frac{5}{15} to lowest terms by extracting and canceling out 5.

$$\frac{1}{3}+\frac{8}{5}+\frac{3}{205}$$

Least common multiple of 3 and 5 is 15. Convert \frac{1}{3} and \frac{8}{5} to fractions with denominator 15.

$$\frac{5}{15}+\frac{24}{15}+\frac{3}{205}$$

Since \frac{5}{15} and \frac{24}{15} have the same denominator, add them by adding their numerators.

$$\frac{5+24}{15}+\frac{3}{205}$$

Add 5 and 24 to get 29.

$$\frac{29}{15}+\frac{3}{205}$$

Least common multiple of 15 and 205 is 615. Convert \frac{29}{15} and \frac{3}{205} to fractions with denominator 615.

$$\frac{1189}{615}+\frac{9}{615}$$

Since \frac{1189}{615} and \frac{9}{615} have the same denominator, add them by adding their numerators.

$$\frac{1189+9}{615}$$

Add 1189 and 9 to get 1198.

$$\frac{1198}{615}$$

Factor

$$\frac{2 \cdot 599}{3 \cdot 5 \cdot 41} = 1\frac{583}{615} = 1.9479674796747968$$