Solve 57/63-25/30

$$\frac { 57 } { 63 } - \frac { 25 } { 30 }$$

Evaluate

$$\frac{1}{14}\approx 0.071428571$$

Solution Steps

Reduce the fraction \frac{57}{63} to lowest terms by extracting and canceling out 3.

$$\frac{19}{21}-\frac{25}{30}$$

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

$$\frac{19}{21}-\frac{5}{6}$$

Least common multiple of 21 and 6 is 42. Convert \frac{19}{21} and \frac{5}{6} to fractions with denominator 42.

$$\frac{38}{42}-\frac{35}{42}$$

Since \frac{38}{42} and \frac{35}{42} have the same denominator, subtract them by subtracting their numerators.

$$\frac{38-35}{42}$$

Subtract 35 from 38 to get 3.

$$\frac{3}{42}$$

Reduce the fraction \frac{3}{42} to lowest terms by extracting and canceling out 3.

$$\frac{1}{14}$$

Factor

$$\frac{1}{2 \cdot 7} = 0.07142857142857142$$