Solve 77/72-2/5

$$\frac { 77 } { 72 } - \frac { 2 } { 5 }$$

Evaluate

$$\frac{241}{360}\approx 0.669444444$$

Solution Steps

Least common multiple of 72 and 5 is 360. Convert \frac{77}{72} and \frac{2}{5} to fractions with denominator 360.

$$\frac{385}{360}-\frac{144}{360}$$

Since \frac{385}{360} and \frac{144}{360} have the same denominator, subtract them by subtracting their numerators.

$$\frac{385-144}{360}$$

Subtract 144 from 385 to get 241.

$$\frac{241}{360}$$

Factor

$$\frac{241}{2 ^ {3} \cdot 3 ^ {2} \cdot 5} = 0.6694444444444444$$