Solve 6/9+15/25-6/15

$$\frac { 6 } { 9 } + \frac { 15 } { 25 } - \frac { 6 } { 15 }$$

Evaluate

$$\frac{13}{15}\approx 0.866666667$$

Solution Steps

Reduce the fraction \frac{6}{9} to lowest terms by extracting and canceling out 3.

$$\frac{2}{3}+\frac{15}{25}-\frac{6}{15}$$

Reduce the fraction \frac{15}{25} to lowest terms by extracting and canceling out 5.

$$\frac{2}{3}+\frac{3}{5}-\frac{6}{15}$$

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

$$\frac{10}{15}+\frac{9}{15}-\frac{6}{15}$$

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

$$\frac{10+9}{15}-\frac{6}{15}$$

Add 10 and 9 to get 19.

$$\frac{19}{15}-\frac{6}{15}$$

Since \frac{19}{15} and \frac{6}{15} have the same denominator, subtract them by subtracting their numerators.

$$\frac{19-6}{15}$$

Subtract 6 from 19 to get 13.

$$\frac{13}{15}$$

Factor

$$\frac{13}{3 \cdot 5} = 0.8666666666666667$$