Solve 11/12-5/18-5/24=

$$\frac { 11 } { 12 } - \frac { 5 } { 18 } - \frac { 5 } { 24 } =$$

Evaluate

$$\frac{31}{72}\approx 0.430555556$$

Solution Steps

Least common multiple of 12 and 18 is 36. Convert \frac{11}{12} and \frac{5}{18} to fractions with denominator 36.

$$\frac{33}{36}-\frac{10}{36}-\frac{5}{24}$$

Since \frac{33}{36} and \frac{10}{36} have the same denominator, subtract them by subtracting their numerators.

$$\frac{33-10}{36}-\frac{5}{24}$$

Subtract 10 from 33 to get 23.

$$\frac{23}{36}-\frac{5}{24}$$

Least common multiple of 36 and 24 is 72. Convert \frac{23}{36} and \frac{5}{24} to fractions with denominator 72.

$$\frac{46}{72}-\frac{15}{72}$$

Since \frac{46}{72} and \frac{15}{72} have the same denominator, subtract them by subtracting their numerators.

$$\frac{46-15}{72}$$

Subtract 15 from 46 to get 31.

$$\frac{31}{72}$$

Factor

$$\frac{31}{2 ^ {3} \cdot 3 ^ {2}} = 0.4305555555555556$$