Solve {l}{12(3quad5)}{6/5*(13/4*2/5)}

$$\left. \begin{array} { l } { 12 ( 3 \quad 5 ) } \\ { \frac { 6 } { 5 } \times ( 1 \frac { 3 } { 4 } \times \frac { 2 } { 5 } ) } \end{array} \right.$$

Sort

$$\frac{21}{25},420$$

Solution Steps

Multiply 12 and 35 to get 420.

$$sort(420,\frac{6}{5}\times \frac{1\times 4+3}{4}\times \frac{2}{5})$$

Multiply 1 and 4 to get 4.

$$sort(420,\frac{6}{5}\times \frac{4+3}{4}\times \frac{2}{5})$$

Add 4 and 3 to get 7.

$$sort(420,\frac{6}{5}\times \frac{7}{4}\times \frac{2}{5})$$

Multiply \frac{6}{5} times \frac{7}{4} by multiplying numerator times numerator and denominator times denominator.

$$sort(420,\frac{6\times 7}{5\times 4}\times \frac{2}{5})$$

Do the multiplications in the fraction \frac{6\times 7}{5\times 4}.

$$sort(420,\frac{42}{20}\times \frac{2}{5})$$

Reduce the fraction \frac{42}{20} to lowest terms by extracting and canceling out 2.

$$sort(420,\frac{21}{10}\times \frac{2}{5})$$

Multiply \frac{21}{10} times \frac{2}{5} by multiplying numerator times numerator and denominator times denominator.

$$sort(420,\frac{21\times 2}{10\times 5})$$

Do the multiplications in the fraction \frac{21\times 2}{10\times 5}.

$$sort(420,\frac{42}{50})$$

Reduce the fraction \frac{42}{50} to lowest terms by extracting and canceling out 2.

$$sort(420,\frac{21}{25})$$

Convert decimal numbers in the list 420,\frac{21}{25} to fractions.

$$420,\frac{21}{25}$$

To sort the list, start from a single element 420.

$$420$$

Insert \frac{21}{25} to the appropriate location in the new list.

$$\frac{21}{25},420$$

Evaluate

$$420,\ \frac{21}{25}$$