Solve {l}{(-21/2)*(-31/3)*(-6)}{(-41/3)*(-11/2)*frac{3}{4}}

$$\left. \begin{array} { l } { ( - 2 \frac { 1 } { 2 } ) \times ( - 3 \frac { 1 } { 3 } ) \times ( - 6 ) } \\ { ( - 4 \frac { 1 } { 3 } ) \times ( - 1 \frac { 1 } { 2 } ) \times \frac { 3 } { 4 } } \end{array} \right.$$

Sort

$$-50,\ \frac{39}{8}$$

Solution Steps

Multiply 2 and 2 to get 4.

$$sort(\left(-\frac{4+1}{2}\right)\left(-\frac{3\times 3+1}{3}\right)\left(-6\right),\left(-\frac{4\times 3+1}{3}\right)\left(-\frac{1\times 2+1}{2}\right)\times \frac{3}{4})$$

Add 4 and 1 to get 5.

$$sort(-\frac{5}{2}\left(-\frac{3\times 3+1}{3}\right)\left(-6\right),\left(-\frac{4\times 3+1}{3}\right)\left(-\frac{1\times 2+1}{2}\right)\times \frac{3}{4})$$

Multiply 3 and 3 to get 9.

$$sort(-\frac{5}{2}\left(-\frac{9+1}{3}\right)\left(-6\right),\left(-\frac{4\times 3+1}{3}\right)\left(-\frac{1\times 2+1}{2}\right)\times \frac{3}{4})$$

Add 9 and 1 to get 10.

$$sort(-\frac{5}{2}\left(-\frac{10}{3}\right)\left(-6\right),\left(-\frac{4\times 3+1}{3}\right)\left(-\frac{1\times 2+1}{2}\right)\times \frac{3}{4})$$

Multiply -\frac{5}{2} times -\frac{10}{3} by multiplying numerator times numerator and denominator times denominator.

$$sort(\frac{-5\left(-10\right)}{2\times 3}\left(-6\right),\left(-\frac{4\times 3+1}{3}\right)\left(-\frac{1\times 2+1}{2}\right)\times \frac{3}{4})$$

Do the multiplications in the fraction \frac{-5\left(-10\right)}{2\times 3}.

$$sort(\frac{50}{6}\left(-6\right),\left(-\frac{4\times 3+1}{3}\right)\left(-\frac{1\times 2+1}{2}\right)\times \frac{3}{4})$$

Reduce the fraction \frac{50}{6} to lowest terms by extracting and canceling out 2.

$$sort(\frac{25}{3}\left(-6\right),\left(-\frac{4\times 3+1}{3}\right)\left(-\frac{1\times 2+1}{2}\right)\times \frac{3}{4})$$

Express \frac{25}{3}\left(-6\right) as a single fraction.

$$sort(\frac{25\left(-6\right)}{3},\left(-\frac{4\times 3+1}{3}\right)\left(-\frac{1\times 2+1}{2}\right)\times \frac{3}{4})$$

Multiply 25 and -6 to get -150.

$$sort(\frac{-150}{3},\left(-\frac{4\times 3+1}{3}\right)\left(-\frac{1\times 2+1}{2}\right)\times \frac{3}{4})$$

Divide -150 by 3 to get -50.

$$sort(-50,\left(-\frac{4\times 3+1}{3}\right)\left(-\frac{1\times 2+1}{2}\right)\times \frac{3}{4})$$

Multiply 4 and 3 to get 12.

$$sort(-50,\left(-\frac{12+1}{3}\right)\left(-\frac{1\times 2+1}{2}\right)\times \frac{3}{4})$$

Add 12 and 1 to get 13.

$$sort(-50,-\frac{13}{3}\left(-\frac{2+1}{2}\right)\times \frac{3}{4})$$

Add 2 and 1 to get 3.

$$sort(-50,-\frac{13}{3}\left(-\frac{3}{2}\right)\times \frac{3}{4})$$

Multiply -\frac{13}{3} times -\frac{3}{2} by multiplying numerator times numerator and denominator times denominator.

$$sort(-50,\frac{-13\left(-3\right)}{3\times 2}\times \frac{3}{4})$$

Do the multiplications in the fraction \frac{-13\left(-3\right)}{3\times 2}.

$$sort(-50,\frac{39}{6}\times \frac{3}{4})$$

Reduce the fraction \frac{39}{6} to lowest terms by extracting and canceling out 3.

$$sort(-50,\frac{13}{2}\times \frac{3}{4})$$

Multiply \frac{13}{2} times \frac{3}{4} by multiplying numerator times numerator and denominator times denominator.

$$sort(-50,\frac{13\times 3}{2\times 4})$$

Do the multiplications in the fraction \frac{13\times 3}{2\times 4}.

$$sort(-50,\frac{39}{8})$$

Convert decimal numbers in the list -50,\frac{39}{8} to fractions.

$$-50,\frac{39}{8}$$

Evaluate

$$-50,\ \frac{39}{8}$$