Solve 14/24-13/23*22/22-11/22

$$\frac { 14 } { 24 } - \frac { 13 } { 23 } \cdot \frac { 22 } { 22 } - \frac { 11 } { 22 }$$

Evaluate

$$-\frac{133}{276}\approx -0.481884058$$

Solution Steps

Divide 22 by 22 to get 1.

$$\frac{14}{24}-\frac{13}{23}\times 1-\frac{11}{22}$$

Reduce the fraction \frac{14}{24} to lowest terms by extracting and canceling out 2.

$$\frac{7}{12}-\frac{13}{23}\times 1-\frac{11}{22}$$

Multiply \frac{13}{23} and 1 to get \frac{13}{23}.

$$\frac{7}{12}-\frac{13}{23}-\frac{11}{22}$$

Least common multiple of 12 and 23 is 276. Convert \frac{7}{12} and \frac{13}{23} to fractions with denominator 276.

$$\frac{161}{276}-\frac{156}{276}-\frac{11}{22}$$

Since \frac{161}{276} and \frac{156}{276} have the same denominator, subtract them by subtracting their numerators.

$$\frac{161-156}{276}-\frac{11}{22}$$

Subtract 156 from 161 to get 5.

$$\frac{5}{276}-\frac{11}{22}$$

Reduce the fraction \frac{11}{22} to lowest terms by extracting and canceling out 11.

$$\frac{5}{276}-\frac{1}{2}$$

Least common multiple of 276 and 2 is 276. Convert \frac{5}{276} and \frac{1}{2} to fractions with denominator 276.

$$\frac{5}{276}-\frac{138}{276}$$

Since \frac{5}{276} and \frac{138}{276} have the same denominator, subtract them by subtracting their numerators.

$$\frac{5-138}{276}$$

Subtract 138 from 5 to get -133.

$$-\frac{133}{276}$$

Factor

$$-\frac{133}{276} = -0.48188405797101447$$