Solve 1/54-7/22

$$\frac { 1 } { 54 } - \frac { 7 } { 22 }$$

Evaluate

$$-\frac{89}{297}\approx -0.2996633$$

Solution Steps

Least common multiple of 54 and 22 is 594. Convert \frac{1}{54} and \frac{7}{22} to fractions with denominator 594.

$$\frac{11}{594}-\frac{189}{594}$$

Since \frac{11}{594} and \frac{189}{594} have the same denominator, subtract them by subtracting their numerators.

$$\frac{11-189}{594}$$

Subtract 189 from 11 to get -178.

$$\frac{-178}{594}$$

Reduce the fraction \frac{-178}{594} to lowest terms by extracting and canceling out 2.

$$-\frac{89}{297}$$

Factor

$$-\frac{89}{297} = -0.2996632996632997$$