Solve 8/5-49/50-3/10=

$$\frac { 8 } { 5 } - \frac { 49 } { 50 } - \frac { 3 } { 10 } =$$

Evaluate

$$\frac{8}{25}=0.32$$

Solution Steps

Least common multiple of 5 and 50 is 50. Convert \frac{8}{5} and \frac{49}{50} to fractions with denominator 50.

$$\frac{80}{50}-\frac{49}{50}-\frac{3}{10}$$

Since \frac{80}{50} and \frac{49}{50} have the same denominator, subtract them by subtracting their numerators.

$$\frac{80-49}{50}-\frac{3}{10}$$

Subtract 49 from 80 to get 31.

$$\frac{31}{50}-\frac{3}{10}$$

Least common multiple of 50 and 10 is 50. Convert \frac{31}{50} and \frac{3}{10} to fractions with denominator 50.

$$\frac{31}{50}-\frac{15}{50}$$

Since \frac{31}{50} and \frac{15}{50} have the same denominator, subtract them by subtracting their numerators.

$$\frac{31-15}{50}$$

Subtract 15 from 31 to get 16.

$$\frac{16}{50}$$

Reduce the fraction \frac{16}{50} to lowest terms by extracting and canceling out 2.

$$\frac{8}{25}$$

Factor

$$\frac{2 ^ {3}}{5 ^ {2}} = 0.32$$