Solve 31/10-{3-[1/5+3/2-(3/2-frac{1}{5})]}+(frac{3}{4})^0

$$\frac { 31 } { 10 } - \{ 3 - [ \frac { 1 } { 5 } + \frac { 3 } { 2 } - ( \frac { 3 } { 2 } - \frac { 1 } { 5 } ) ] \} + ( \frac { 3 } { 4 } ) ^ { 0 }$$

Evaluate

$$\frac{3}{2}=1.5$$

Solution Steps

Add \frac{1}{5} and \frac{3}{2} to get \frac{17}{10}.

$$\frac{31}{10}-\left(3-\left(\frac{17}{10}-\left(\frac{3}{2}-\frac{1}{5}\right)\right)\right)+\left(\frac{3}{4}\right)^{0}$$

Subtract \frac{1}{5} from \frac{3}{2} to get \frac{13}{10}.

$$\frac{31}{10}-\left(3-\left(\frac{17}{10}-\frac{13}{10}\right)\right)+\left(\frac{3}{4}\right)^{0}$$

Subtract \frac{13}{10} from \frac{17}{10} to get \frac{2}{5}.

$$\frac{31}{10}-\left(3-\frac{2}{5}\right)+\left(\frac{3}{4}\right)^{0}$$

Subtract \frac{2}{5} from 3 to get \frac{13}{5}.

$$\frac{31}{10}-\frac{13}{5}+\left(\frac{3}{4}\right)^{0}$$

Subtract \frac{13}{5} from \frac{31}{10} to get \frac{1}{2}.

$$\frac{1}{2}+\left(\frac{3}{4}\right)^{0}$$

Calculate \frac{3}{4} to the power of 0 and get 1.

$$\frac{1}{2}+1$$

Add \frac{1}{2} and 1 to get \frac{3}{2}.

$$\frac{3}{2}$$

Factor

$$\frac{3}{2} = 1\frac{1}{2} = 1.5$$