Solve 2/3-4(1/2+3/4)

$$\frac { 2 } { 3 } - 4 ( \frac { 1 } { 2 } + \frac { 3 } { 4 } )$$

Evaluate

$$-\frac{13}{3}\approx -4.333333333$$

Solution Steps

Least common multiple of 2 and 4 is 4. Convert \frac{1}{2} and \frac{3}{4} to fractions with denominator 4.

$$\frac{2}{3}-4\left(\frac{2}{4}+\frac{3}{4}\right)$$

Since \frac{2}{4} and \frac{3}{4} have the same denominator, add them by adding their numerators.

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

Add 2 and 3 to get 5.

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

Cancel out 4 and 4.

$$\frac{2}{3}-5$$

Convert 5 to fraction \frac{15}{3}.

$$\frac{2}{3}-\frac{15}{3}$$

Since \frac{2}{3} and \frac{15}{3} have the same denominator, subtract them by subtracting their numerators.

$$\frac{2-15}{3}$$

Subtract 15 from 2 to get -13.

$$-\frac{13}{3}$$

Factor

$$-\frac{13}{3} = -4\frac{1}{3} = -4.333333333333333$$