Solve 1/28-1/4

$$\frac { 1 } { 28 } - \frac { 1 } { 4 }$$

Evaluate

$$-\frac{3}{14}\approx -0.214285714$$

Solution Steps

Least common multiple of 28 and 4 is 28. Convert \frac{1}{28} and \frac{1}{4} to fractions with denominator 28.

$$\frac{1}{28}-\frac{7}{28}$$

Since \frac{1}{28} and \frac{7}{28} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1-7}{28}$$

Subtract 7 from 1 to get -6.

$$\frac{-6}{28}$$

Reduce the fraction \frac{-6}{28} to lowest terms by extracting and canceling out 2.

$$-\frac{3}{14}$$

Factor

$$-\frac{3}{14} = -0.21428571428571427$$