Solve 3/5+4/6+3/9=

$$\frac { 3 } { 5 } + \frac { 4 } { 6 } + \frac { 3 } { 9 } =$$

Evaluate

$$\frac{8}{5}=1.6$$

Solution Steps

Reduce the fraction \frac{4}{6} to lowest terms by extracting and canceling out 2.

$$\frac{3}{5}+\frac{2}{3}+\frac{3}{9}$$

Least common multiple of 5 and 3 is 15. Convert \frac{3}{5} and \frac{2}{3} to fractions with denominator 15.

$$\frac{9}{15}+\frac{10}{15}+\frac{3}{9}$$

Since \frac{9}{15} and \frac{10}{15} have the same denominator, add them by adding their numerators.

$$\frac{9+10}{15}+\frac{3}{9}$$

Add 9 and 10 to get 19.

$$\frac{19}{15}+\frac{3}{9}$$

Reduce the fraction \frac{3}{9} to lowest terms by extracting and canceling out 3.

$$\frac{19}{15}+\frac{1}{3}$$

Least common multiple of 15 and 3 is 15. Convert \frac{19}{15} and \frac{1}{3} to fractions with denominator 15.

$$\frac{19}{15}+\frac{5}{15}$$

Since \frac{19}{15} and \frac{5}{15} have the same denominator, add them by adding their numerators.

$$\frac{19+5}{15}$$

Add 19 and 5 to get 24.

$$\frac{24}{15}$$

Reduce the fraction \frac{24}{15} to lowest terms by extracting and canceling out 3.

$$\frac{8}{5}$$

Factor

$$\frac{2 ^ {3}}{5} = 1\frac{3}{5} = 1.6$$