Solve 8/15+3/10+11/75

$$\frac { 8 } { 15 } + \frac { 3 } { 10 } + \frac { 11 } { 75 }$$

Evaluate

$$\frac{49}{50}=0.98$$

Solution Steps

Least common multiple of 15 and 10 is 30. Convert \frac{8}{15} and \frac{3}{10} to fractions with denominator 30.

$$\frac{16}{30}+\frac{9}{30}+\frac{11}{75}$$

Since \frac{16}{30} and \frac{9}{30} have the same denominator, add them by adding their numerators.

$$\frac{16+9}{30}+\frac{11}{75}$$

Add 16 and 9 to get 25.

$$\frac{25}{30}+\frac{11}{75}$$

Reduce the fraction \frac{25}{30} to lowest terms by extracting and canceling out 5.

$$\frac{5}{6}+\frac{11}{75}$$

Least common multiple of 6 and 75 is 150. Convert \frac{5}{6} and \frac{11}{75} to fractions with denominator 150.

$$\frac{125}{150}+\frac{22}{150}$$

Since \frac{125}{150} and \frac{22}{150} have the same denominator, add them by adding their numerators.

$$\frac{125+22}{150}$$

Add 125 and 22 to get 147.

$$\frac{147}{150}$$

Reduce the fraction \frac{147}{150} to lowest terms by extracting and canceling out 3.

$$\frac{49}{50}$$

Factor

$$\frac{7 ^ {2}}{2 \cdot 5 ^ {2}} = 0.98$$