Solve 9/4+1/2-(5/4-1)-2]*(-2/3)+frac{5}{12}}*(-frac{6}{5})-frac{1}{10}

$$\frac { 9 } { 4 } + \frac { 1 } { 2 } - ( \frac { 5 } { 4 } - 1 ) - 2 ] \cdot ( - \frac { 2 } { 3 } ) + \frac { 5 } { 12 } \} \cdot ( - \frac { 6 } { 5 } ) - \frac { 1 } { 10 }$$

Evaluate

$$\frac{1}{2}=0.5$$

Solution Steps

Least common multiple of 4 and 2 is 4. Convert \frac{9}{4} and \frac{1}{2} to fractions with denominator 4.

$$\frac{9}{4}+\frac{2}{4}-\left(\frac{5}{4}-1\right)-2$$

Since \frac{9}{4} and \frac{2}{4} have the same denominator, add them by adding their numerators.

$$\frac{9+2}{4}-\left(\frac{5}{4}-1\right)-2$$

Add 9 and 2 to get 11.

$$\frac{11}{4}-\left(\frac{5}{4}-1\right)-2$$

Convert 1 to fraction \frac{4}{4}.

$$\frac{11}{4}-\left(\frac{5}{4}-\frac{4}{4}\right)-2$$

Since \frac{5}{4} and \frac{4}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{11}{4}-\frac{5-4}{4}-2$$

Subtract 4 from 5 to get 1.

$$\frac{11}{4}-\frac{1}{4}-2$$

Since \frac{11}{4} and \frac{1}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{11-1}{4}-2$$

Subtract 1 from 11 to get 10.

$$\frac{10}{4}-2$$

Reduce the fraction \frac{10}{4} to lowest terms by extracting and canceling out 2.

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

Convert 2 to fraction \frac{4}{2}.

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

Since \frac{5}{2} and \frac{4}{2} have the same denominator, subtract them by subtracting their numerators.

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

Subtract 4 from 5 to get 1.

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

Factor

$$\frac{1}{2} = 0.5$$