Solve 3/4-(1/2+1/4)+2/5=

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

Evaluate

$$\frac{2}{5}=0.4$$

Solution Steps

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

$$\frac{3}{4}-\left(\frac{2}{4}+\frac{1}{4}\right)+\frac{2}{5}$$

Since \frac{2}{4} and \frac{1}{4} have the same denominator, add them by adding their numerators.

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

Add 2 and 1 to get 3.

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

Subtract \frac{3}{4} from \frac{3}{4} to get 0.

$$0+\frac{2}{5}$$

Add 0 and \frac{2}{5} to get \frac{2}{5}.

$$\frac{2}{5}$$

Factor

$$\frac{2}{5} = 0.4$$