Solve {l}{0.6*2*9.6500}{30.4/64}

$$\left. \begin{array} { l } { 0.6 \times 2 \times 9.6500 } \\ { \frac { 30.4 } { 64 } } \end{array} \right.$$

Sort

$$0.475,11.58$$

Solution Steps

Multiply 0.6 and 2 to get 1.2.

$$sort(1.2\times 9.65,\frac{30.4}{64})$$

Multiply 1.2 and 9.65 to get 11.58.

$$sort(11.58,\frac{30.4}{64})$$

Expand \frac{30.4}{64} by multiplying both numerator and the denominator by 10.

$$sort(11.58,\frac{304}{640})$$

Reduce the fraction \frac{304}{640} to lowest terms by extracting and canceling out 16.

$$sort(11.58,\frac{19}{40})$$

Convert decimal numbers in the list 11.58,\frac{19}{40} to fractions.

$$\frac{579}{50},\frac{19}{40}$$

Least common denominator of the numbers in the list \frac{579}{50},\frac{19}{40} is 200. Convert numbers in the list to fractions with denominator 200.

$$\frac{2316}{200},\frac{95}{200}$$

To sort the list, start from a single element \frac{2316}{200}.

$$\frac{2316}{200}$$

Insert \frac{95}{200} to the appropriate location in the new list.

$$\frac{95}{200},\frac{2316}{200}$$

Replace the obtained fractions with the initial values.

$$\frac{19}{40},11.58$$

Evaluate

$$11.58,\ 0.475$$