Chapter 6.1, Problem 21E

To determine

To arrange the ratios from least to greatest

Answer to Problem 21E

The ratios from least to greatest are $9:2,5:1,\frac{100}{19},65:12,\frac{22}{4}$

Explanation of Solution

Given information:

The ratios are $\frac{22}{4},65:12,9:2,\frac{100}{19},5:1$

Calculation :

The ratios are to be arranged from least to greatest

  $\begin{array}{l}\frac{22}{4},65:12,9:2,\frac{100}{19},5:1\\ \frac{22}{4},\frac{65}{12},\frac{9}{2},\frac{100}{19},\frac{5}{1}\left[\text{least common multiple of 4,12,2,19,1 is 228}\right]\\ \frac{1254}{228},\frac{1235}{228},\frac{1096}{228},\frac{1200}{228},\frac{1140}{228}\left[\text{convert into like fractions by making the denominators same}\right]\\ \frac{1096}{228},\frac{1140}{228},\frac{1200}{228},\frac{1235}{228},\frac{1254}{228}\left[\text{arrange from least to greatest}\right]\\ 9:2,5:1,\frac{100}{19},65:12,\frac{22}{4}\end{array}$

Hence, the ratios from least to greatest are $9:2,5:1,\frac{100}{19},65:12,\frac{22}{4}$