Solve 2/3+21/2-52/4

$$\frac { 2 } { 3 } + 2 \frac { 1 } { 2 } - 5 \frac { 2 } { 4 }$$

Evaluate

$$-\frac{7}{3}\approx -2.333333333$$

Solution Steps

Multiply 2 and 2 to get 4.

$$\frac{2}{3}+\frac{4+1}{2}-\frac{5\times 4+2}{4}$$

Add 4 and 1 to get 5.

$$\frac{2}{3}+\frac{5}{2}-\frac{5\times 4+2}{4}$$

Least common multiple of 3 and 2 is 6. Convert \frac{2}{3} and \frac{5}{2} to fractions with denominator 6.

$$\frac{4}{6}+\frac{15}{6}-\frac{5\times 4+2}{4}$$

Since \frac{4}{6} and \frac{15}{6} have the same denominator, add them by adding their numerators.

$$\frac{4+15}{6}-\frac{5\times 4+2}{4}$$

Add 4 and 15 to get 19.

$$\frac{19}{6}-\frac{5\times 4+2}{4}$$

Multiply 5 and 4 to get 20.

$$\frac{19}{6}-\frac{20+2}{4}$$

Add 20 and 2 to get 22.

$$\frac{19}{6}-\frac{22}{4}$$

Reduce the fraction \frac{22}{4} to lowest terms by extracting and canceling out 2.

$$\frac{19}{6}-\frac{11}{2}$$

Least common multiple of 6 and 2 is 6. Convert \frac{19}{6} and \frac{11}{2} to fractions with denominator 6.

$$\frac{19}{6}-\frac{33}{6}$$

Since \frac{19}{6} and \frac{33}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{19-33}{6}$$

Subtract 33 from 19 to get -14.

$$\frac{-14}{6}$$

Reduce the fraction \frac{-14}{6} to lowest terms by extracting and canceling out 2.

$$-\frac{7}{3}$$

Factor

$$-\frac{7}{3} = -2\frac{1}{3} = -2.3333333333333335$$