Question

Order the ratios from least to greatest.

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

Short answer

The order of the ratios from least to greatest is$9:2,5:1,\frac{100}{19},65:12,\frac{22}{4}$ .

Step-by-step solution

. Given

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

. To determine

We have to arrange the ratios from least to greatest.

. Calculation

First, we write the ratios in fraction form. Then we try to make the same denominator and then compare them according to their numerators.

$\begin{array}{l}\frac{22}{4},65:12,9:2,\frac{100}{19},5:1\\ \frac{22}{4},\frac{65}{12},\frac{9}{2},\frac{100}{19},\frac{5}{1}\left[\text{leastcommonmultipleof4,12,2,19,1is228}\right]\\ \frac{1254}{228},\frac{1235}{228},\frac{1026}{228},\frac{1200}{228},\frac{1140}{228}\left[\text{convertintolikefractions}\right]\\ \frac{1026}{228},\frac{1140}{228},\frac{1200}{228},\frac{1235}{228},\frac{1254}{228}\left[\text{arrangefromleasttogreatest}\right]\\ 9:2,5:1,\frac{100}{19},65:12,\frac{22}{4}\end{array}$

So, the order of the ratios from least to greatest is =$9:2,5:1,\frac{100}{19},65:12,\frac{22}{4}$.