Solve {c}{85*0.95div0.5}{161*0.5div85}

$$\left. \begin{array} { c } { 85 \times 0.95 \div 0.5 } \\ { 161 \times 0.5 \div 85 } \end{array} \right.$$

Sort

$$\frac{161}{170},161.5$$

Solution Steps

Multiply 85 and 0.95 to get 80.75.

$$sort(\frac{80.75}{0.5},\frac{161\times 0.5}{85})$$

Expand \frac{80.75}{0.5} by multiplying both numerator and the denominator by 100.

$$sort(\frac{8075}{50},\frac{161\times 0.5}{85})$$

Reduce the fraction \frac{8075}{50} to lowest terms by extracting and canceling out 25.

$$sort(\frac{323}{2},\frac{161\times 0.5}{85})$$

Multiply 161 and 0.5 to get 80.5.

$$sort(\frac{323}{2},\frac{80.5}{85})$$

Expand \frac{80.5}{85} by multiplying both numerator and the denominator by 10.

$$sort(\frac{323}{2},\frac{805}{850})$$

Reduce the fraction \frac{805}{850} to lowest terms by extracting and canceling out 5.

$$sort(\frac{323}{2},\frac{161}{170})$$

Least common denominator of the numbers in the list \frac{323}{2},\frac{161}{170} is 170. Convert numbers in the list to fractions with denominator 170.

$$\frac{27455}{170},\frac{161}{170}$$

To sort the list, start from a single element \frac{27455}{170}.

$$\frac{27455}{170}$$

Insert \frac{161}{170} to the appropriate location in the new list.

$$\frac{161}{170},\frac{27455}{170}$$

Replace the obtained fractions with the initial values.

$$\frac{161}{170},\frac{323}{2}$$

Evaluate

$$161.5,\ \frac{161}{170}$$