Solve {r}{47.-9/5div-24/19}{14-22}

$$\left. \begin{array} { r } { 47 . \frac { - 9 } { 5 } \div \frac { - 24 } { 19 } } \\ { 14 - 22 } \end{array} \right.$$

Sort

$$-8,\frac{2679}{40}$$

Solution Steps

Fraction \frac{-9}{5} can be rewritten as -\frac{9}{5} by extracting the negative sign.

$$sort(\frac{47\left(-\frac{9}{5}\right)}{\frac{-24}{19}},14-22)$$

Express 47\left(-\frac{9}{5}\right) as a single fraction.

$$sort(\frac{\frac{47\left(-9\right)}{5}}{\frac{-24}{19}},14-22)$$

Multiply 47 and -9 to get -423.

$$sort(\frac{\frac{-423}{5}}{\frac{-24}{19}},14-22)$$

Fraction \frac{-423}{5} can be rewritten as -\frac{423}{5} by extracting the negative sign.

$$sort(\frac{-\frac{423}{5}}{\frac{-24}{19}},14-22)$$

Fraction \frac{-24}{19} can be rewritten as -\frac{24}{19} by extracting the negative sign.

$$sort(\frac{-\frac{423}{5}}{-\frac{24}{19}},14-22)$$

Divide -\frac{423}{5} by -\frac{24}{19} by multiplying -\frac{423}{5} by the reciprocal of -\frac{24}{19}.

$$sort(-\frac{423}{5}\left(-\frac{19}{24}\right),14-22)$$

Multiply -\frac{423}{5} times -\frac{19}{24} by multiplying numerator times numerator and denominator times denominator.

$$sort(\frac{-423\left(-19\right)}{5\times 24},14-22)$$

Do the multiplications in the fraction \frac{-423\left(-19\right)}{5\times 24}.

$$sort(\frac{8037}{120},14-22)$$

Reduce the fraction \frac{8037}{120} to lowest terms by extracting and canceling out 3.

$$sort(\frac{2679}{40},14-22)$$

Subtract 22 from 14 to get -8.

$$sort(\frac{2679}{40},-8)$$

Convert decimal numbers in the list \frac{2679}{40},-8 to fractions.

$$\frac{2679}{40},-8$$

To sort the list, start from a single element \frac{2679}{40}.

$$\frac{2679}{40}$$

Insert -8 to the appropriate location in the new list.

$$-8,\frac{2679}{40}$$

Evaluate

$$\frac{2679}{40},\ -8$$