Solve 5/4+9/10-5/3):58/45|^2:(-frac{3}{4})^2+frac{1}{2}-2

$$\frac { 5 } { 4 } + \frac { 9 } { 10 } - \frac { 5 } { 3 } ) : \frac { 58 } { 45 } | ^ { 2 } : ( - \frac { 3 } { 4 } ) ^ { 2 } + \frac { 1 } { 2 } - 2$$

Evaluate

$$\frac{29}{60}\approx 0.483333333$$

Solution Steps

Least common multiple of 4 and 10 is 20. Convert \frac{5}{4} and \frac{9}{10} to fractions with denominator 20.

$$\frac{25}{20}+\frac{18}{20}-\frac{5}{3}$$

Since \frac{25}{20} and \frac{18}{20} have the same denominator, add them by adding their numerators.

$$\frac{25+18}{20}-\frac{5}{3}$$

Add 25 and 18 to get 43.

$$\frac{43}{20}-\frac{5}{3}$$

Least common multiple of 20 and 3 is 60. Convert \frac{43}{20} and \frac{5}{3} to fractions with denominator 60.

$$\frac{129}{60}-\frac{100}{60}$$

Since \frac{129}{60} and \frac{100}{60} have the same denominator, subtract them by subtracting their numerators.

$$\frac{129-100}{60}$$

Subtract 100 from 129 to get 29.

$$\frac{29}{60}$$

Factor

$$\frac{29}{2 ^ {2} \cdot 3 \cdot 5} = 0.48333333333333334$$