Solve 11/18-9/24

$$\frac { 11 } { 18 } - \frac { 9 } { 24 }$$

Evaluate

$$\frac{17}{72}\approx 0.236111111$$

Solution Steps

Reduce the fraction \frac{9}{24} to lowest terms by extracting and canceling out 3.

$$\frac{11}{18}-\frac{3}{8}$$

Least common multiple of 18 and 8 is 72. Convert \frac{11}{18} and \frac{3}{8} to fractions with denominator 72.

$$\frac{44}{72}-\frac{27}{72}$$

Since \frac{44}{72} and \frac{27}{72} have the same denominator, subtract them by subtracting their numerators.

$$\frac{44-27}{72}$$

Subtract 27 from 44 to get 17.

$$\frac{17}{72}$$

Factor

$$\frac{17}{2 ^ {3} \cdot 3 ^ {2}} = 0.2361111111111111$$