Solve (3/24+2/11)-18/22

$$( \frac { 3 } { 24 } + \frac { 2 } { 11 } ) - \frac { 18 } { 22 }$$

Evaluate

$$-\frac{45}{88}\approx -0.511363636$$

Solution Steps

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

$$\frac{1}{8}+\frac{2}{11}-\frac{18}{22}$$

Least common multiple of 8 and 11 is 88. Convert \frac{1}{8} and \frac{2}{11} to fractions with denominator 88.

$$\frac{11}{88}+\frac{16}{88}-\frac{18}{22}$$

Since \frac{11}{88} and \frac{16}{88} have the same denominator, add them by adding their numerators.

$$\frac{11+16}{88}-\frac{18}{22}$$

Add 11 and 16 to get 27.

$$\frac{27}{88}-\frac{18}{22}$$

Reduce the fraction \frac{18}{22} to lowest terms by extracting and canceling out 2.

$$\frac{27}{88}-\frac{9}{11}$$

Least common multiple of 88 and 11 is 88. Convert \frac{27}{88} and \frac{9}{11} to fractions with denominator 88.

$$\frac{27}{88}-\frac{72}{88}$$

Since \frac{27}{88} and \frac{72}{88} have the same denominator, subtract them by subtracting their numerators.

$$\frac{27-72}{88}$$

Subtract 72 from 27 to get -45.

$$-\frac{45}{88}$$

Factor

$$-\frac{45}{88} = -0.5113636363636364$$