Solve 3/2-1/18

$$\frac { 3 } { 2 } - \frac { 1 } { 18 }$$

Evaluate

$$\frac{13}{9}\approx 1.444444444$$

Solution Steps

Least common multiple of 2 and 18 is 18. Convert \frac{3}{2} and \frac{1}{18} to fractions with denominator 18.

$$\frac{27}{18}-\frac{1}{18}$$

Since \frac{27}{18} and \frac{1}{18} have the same denominator, subtract them by subtracting their numerators.

$$\frac{27-1}{18}$$

Subtract 1 from 27 to get 26.

$$\frac{26}{18}$$

Reduce the fraction \frac{26}{18} to lowest terms by extracting and canceling out 2.

$$\frac{13}{9}$$

Factor

$$\frac{13}{3 ^ {2}} = 1\frac{4}{9} = 1.4444444444444444$$