Solve {l}{25*4-50}{(1-1/6*2/5)div7/9}

$$\left. \begin{array} { l } { 25 \times 4 - 50 } \\ { ( 1 - \frac { 1 } { 6 } \times \frac { 2 } { 5 } ) \div \frac { 7 } { 9 } } \end{array} \right.$$

Sort

$$\frac{6}{5},50$$

Solution Steps

Multiply 25 and 4 to get 100.

$$sort(100-50,\frac{1-\frac{1}{6}\times \frac{2}{5}}{\frac{7}{9}})$$

Subtract 50 from 100 to get 50.

$$sort(50,\frac{1-\frac{1}{6}\times \frac{2}{5}}{\frac{7}{9}})$$

Multiply \frac{1}{6} times \frac{2}{5} by multiplying numerator times numerator and denominator times denominator.

$$sort(50,\frac{1-\frac{1\times 2}{6\times 5}}{\frac{7}{9}})$$

Do the multiplications in the fraction \frac{1\times 2}{6\times 5}.

$$sort(50,\frac{1-\frac{2}{30}}{\frac{7}{9}})$$

Reduce the fraction \frac{2}{30} to lowest terms by extracting and canceling out 2.

$$sort(50,\frac{1-\frac{1}{15}}{\frac{7}{9}})$$

Convert 1 to fraction \frac{15}{15}.

$$sort(50,\frac{\frac{15}{15}-\frac{1}{15}}{\frac{7}{9}})$$

Since \frac{15}{15} and \frac{1}{15} have the same denominator, subtract them by subtracting their numerators.

$$sort(50,\frac{\frac{15-1}{15}}{\frac{7}{9}})$$

Subtract 1 from 15 to get 14.

$$sort(50,\frac{\frac{14}{15}}{\frac{7}{9}})$$

Divide \frac{14}{15} by \frac{7}{9} by multiplying \frac{14}{15} by the reciprocal of \frac{7}{9}.

$$sort(50,\frac{14}{15}\times \frac{9}{7})$$

Multiply \frac{14}{15} times \frac{9}{7} by multiplying numerator times numerator and denominator times denominator.

$$sort(50,\frac{14\times 9}{15\times 7})$$

Do the multiplications in the fraction \frac{14\times 9}{15\times 7}.

$$sort(50,\frac{126}{105})$$

Reduce the fraction \frac{126}{105} to lowest terms by extracting and canceling out 21.

$$sort(50,\frac{6}{5})$$

Convert decimal numbers in the list 50,\frac{6}{5} to fractions.

$$50,\frac{6}{5}$$

To sort the list, start from a single element 50.

$$50$$

Insert \frac{6}{5} to the appropriate location in the new list.

$$\frac{6}{5},50$$

Evaluate

$$50,\ \frac{6}{5}$$