Solve {l}{4/5-(1/2)^2+(-15)^-1}{4/2-1/1-15^-1}

$$\left. \begin{array} { l } { \frac { 4 } { 5 } - ( \frac { 1 } { 2 } ) ^ { 2 } + ( - 15 ) ^ { - 1 } } \\ { \frac { 4 } { 2 } - \frac { 1 } { 1 } - 15 ^ { - 1 } } \end{array} \right.$$

Sort

$$\frac{29}{60},\ \frac{14}{15}$$

Solution Steps

Divide 1 by 1 to get 1.

$$sort(\frac{4}{5}-\left(\frac{1}{2}\right)^{2}+\left(-15\right)^{-1},\frac{4}{2}-1-15^{-1})$$

Calculate \frac{1}{2} to the power of 2 and get \frac{1}{4}.

$$sort(\frac{4}{5}-\frac{1}{4}+\left(-15\right)^{-1},\frac{4}{2}-1-15^{-1})$$

Subtract \frac{1}{4} from \frac{4}{5} to get \frac{11}{20}.

$$sort(\frac{11}{20}+\left(-15\right)^{-1},\frac{4}{2}-1-15^{-1})$$

Calculate -15 to the power of -1 and get -\frac{1}{15}.

$$sort(\frac{11}{20}-\frac{1}{15},\frac{4}{2}-1-15^{-1})$$

Subtract \frac{1}{15} from \frac{11}{20} to get \frac{29}{60}.

$$sort(\frac{29}{60},\frac{4}{2}-1-15^{-1})$$

Divide 4 by 2 to get 2.

$$sort(\frac{29}{60},2-1-15^{-1})$$

Subtract 1 from 2 to get 1.

$$sort(\frac{29}{60},1-15^{-1})$$

Calculate 15 to the power of -1 and get \frac{1}{15}.

$$sort(\frac{29}{60},1-\frac{1}{15})$$

Subtract \frac{1}{15} from 1 to get \frac{14}{15}.

$$sort(\frac{29}{60},\frac{14}{15})$$

Least common denominator of the numbers in the list \frac{29}{60},\frac{14}{15} is 60. Convert numbers in the list to fractions with denominator 60.

$$\frac{29}{60},\frac{56}{60}$$

Evaluate

$$\frac{29}{60},\ \frac{14}{15}$$