Solve {l}{(3/4*4/5)(-5/7*7)*1}{(-8+5-7/4)*(frac{5}{5}div5)}

$$\left. \begin{array} { l } { ( \frac { 3 } { 4 } \times \frac { 4 } { 5 } ) ( - \frac { 5 } { 7 } \times 7 ) \times 1 } \\ { ( - 8 + 5 - \frac { 7 } { 4 } ) \times ( \frac { 5 } { 5 } \div 5 ) } \end{array} \right.$$

Sort

$$-3,\ -\frac{19}{20}$$

Solution Steps

Divide 5 by 5 to get 1.

$$sort(\frac{3}{4}\times \frac{4}{5}\left(-\frac{5}{7}\right)\times 7\times 1,\left(-8+5-\frac{7}{4}\right)\times \frac{1}{5})$$

Multiply \frac{3}{4} times \frac{4}{5} by multiplying numerator times numerator and denominator times denominator.

$$sort(\frac{3\times 4}{4\times 5}\left(-\frac{5}{7}\right)\times 7\times 1,\left(-8+5-\frac{7}{4}\right)\times \frac{1}{5})$$

Cancel out 4 in both numerator and denominator.

$$sort(\frac{3}{5}\left(-\frac{5}{7}\right)\times 7\times 1,\left(-8+5-\frac{7}{4}\right)\times \frac{1}{5})$$

Multiply \frac{3}{5} times -\frac{5}{7} by multiplying numerator times numerator and denominator times denominator.

$$sort(\frac{3\left(-5\right)}{5\times 7}\times 7\times 1,\left(-8+5-\frac{7}{4}\right)\times \frac{1}{5})$$

Do the multiplications in the fraction \frac{3\left(-5\right)}{5\times 7}.

$$sort(\frac{-15}{35}\times 7\times 1,\left(-8+5-\frac{7}{4}\right)\times \frac{1}{5})$$

Reduce the fraction \frac{-15}{35} to lowest terms by extracting and canceling out 5.

$$sort(-\frac{3}{7}\times 7,\left(-8+5-\frac{7}{4}\right)\times \frac{1}{5})$$

Cancel out 7 and 7.

$$sort(-3,\left(-8+5-\frac{7}{4}\right)\times \frac{1}{5})$$

Add -8 and 5 to get -3.

$$sort(-3,\left(-3-\frac{7}{4}\right)\times \frac{1}{5})$$

Convert -3 to fraction -\frac{12}{4}.

$$sort(-3,\left(-\frac{12}{4}-\frac{7}{4}\right)\times \frac{1}{5})$$

Since -\frac{12}{4} and \frac{7}{4} have the same denominator, subtract them by subtracting their numerators.

$$sort(-3,\frac{-12-7}{4}\times \frac{1}{5})$$

Subtract 7 from -12 to get -19.

$$sort(-3,-\frac{19}{4}\times \frac{1}{5})$$

Multiply -\frac{19}{4} times \frac{1}{5} by multiplying numerator times numerator and denominator times denominator.

$$sort(-3,\frac{-19}{4\times 5})$$

Do the multiplications in the fraction \frac{-19}{4\times 5}.

$$sort(-3,\frac{-19}{20})$$

Fraction \frac{-19}{20} can be rewritten as -\frac{19}{20} by extracting the negative sign.

$$sort(-3,-\frac{19}{20})$$

Convert decimal numbers in the list -3,-\frac{19}{20} to fractions.

$$-3,-\frac{19}{20}$$

Evaluate

$$-3,\ -\frac{19}{20}$$