Solve 2/4-25/30

$$\frac { 2 } { 4 } - \frac { 25 } { 30 }$$

Evaluate

$$-\frac{1}{3}\approx -0.333333333$$

Solution Steps

Reduce the fraction \frac{2}{4} to lowest terms by extracting and canceling out 2.

$$\frac{1}{2}-\frac{25}{30}$$

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

$$\frac{1}{2}-\frac{5}{6}$$

Least common multiple of 2 and 6 is 6. Convert \frac{1}{2} and \frac{5}{6} to fractions with denominator 6.

$$\frac{3}{6}-\frac{5}{6}$$

Since \frac{3}{6} and \frac{5}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{3-5}{6}$$

Subtract 5 from 3 to get -2.

$$\frac{-2}{6}$$

Reduce the fraction \frac{-2}{6} to lowest terms by extracting and canceling out 2.

$$-\frac{1}{3}$$

Factor

$$-\frac{1}{3} = -0.3333333333333333$$