Solve -1/24+1/2-1/9

$$- \frac { 1 } { 24 } + \frac { 1 } { 2 } - \frac { 1 } { 9 }$$

Evaluate

$$\frac{25}{72}\approx 0.347222222$$

Solution Steps

Least common multiple of 24 and 2 is 24. Convert -\frac{1}{24} and \frac{1}{2} to fractions with denominator 24.

$$-\frac{1}{24}+\frac{12}{24}-\frac{1}{9}$$

Since -\frac{1}{24} and \frac{12}{24} have the same denominator, add them by adding their numerators.

$$\frac{-1+12}{24}-\frac{1}{9}$$

Add -1 and 12 to get 11.

$$\frac{11}{24}-\frac{1}{9}$$

Least common multiple of 24 and 9 is 72. Convert \frac{11}{24} and \frac{1}{9} to fractions with denominator 72.

$$\frac{33}{72}-\frac{8}{72}$$

Since \frac{33}{72} and \frac{8}{72} have the same denominator, subtract them by subtracting their numerators.

$$\frac{33-8}{72}$$

Subtract 8 from 33 to get 25.

$$\frac{25}{72}$$

Factor

$$\frac{5 ^ {2}}{2 ^ {3} \cdot 3 ^ {2}} = 0.3472222222222222$$