Solve 85/100-2/3

$$\frac { 85 } { 100 } - \frac { 2 } { 3 }$$

Evaluate

$$\frac{11}{60}\approx 0.183333333$$

Solution Steps

Reduce the fraction \frac{85}{100} to lowest terms by extracting and canceling out 5.

$$\frac{17}{20}-\frac{2}{3}$$

Least common multiple of 20 and 3 is 60. Convert \frac{17}{20} and \frac{2}{3} to fractions with denominator 60.

$$\frac{51}{60}-\frac{40}{60}$$

Since \frac{51}{60} and \frac{40}{60} have the same denominator, subtract them by subtracting their numerators.

$$\frac{51-40}{60}$$

Subtract 40 from 51 to get 11.

$$\frac{11}{60}$$

Factor

$$\frac{11}{2 ^ {2} \cdot 3 \cdot 5} = 0.18333333333333332$$