Solve {r}{(-1/4div1/5)div1/6}{1}

$$\left. \begin{array} { r } { ( - \frac { 1 } { 4 } \div \frac { 1 } { 5 } ) \div \frac { 1 } { 6 } } \\ { 1 } \end{array} \right.$$

Sort

$$-\frac{15}{2},\ 1$$

Solution Steps

Divide \frac{-\frac{1}{4}}{\frac{1}{5}} by \frac{1}{6} by multiplying \frac{-\frac{1}{4}}{\frac{1}{5}} by the reciprocal of \frac{1}{6}.

$$sort(\frac{-\frac{1}{4}\times 6}{\frac{1}{5}},1)$$

Express -\frac{1}{4}\times 6 as a single fraction.

$$sort(\frac{\frac{-6}{4}}{\frac{1}{5}},1)$$

Reduce the fraction \frac{-6}{4} to lowest terms by extracting and canceling out 2.

$$sort(\frac{-\frac{3}{2}}{\frac{1}{5}},1)$$

Divide -\frac{3}{2} by \frac{1}{5} by multiplying -\frac{3}{2} by the reciprocal of \frac{1}{5}.

$$sort(-\frac{3}{2}\times 5,1)$$

Express -\frac{3}{2}\times 5 as a single fraction.

$$sort(\frac{-3\times 5}{2},1)$$

Multiply -3 and 5 to get -15.

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

Fraction \frac{-15}{2} can be rewritten as -\frac{15}{2} by extracting the negative sign.

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

Convert decimal numbers in the list -\frac{15}{2},1 to fractions.

$$-\frac{15}{2},1$$

Evaluate

$$-\frac{15}{2},\ 1$$