Question

Order the ratios from least to greatest.

$\frac{4}{2},11\text{to}2,22:3,\frac{30}{4},36:5$

Short answer

The order of the ratios from least to greatest is$\frac{4}{2},11\text{to}2,36:5,22:3,\frac{30}{4}$ .

Step-by-step solution

. Given

The given ratios are:$\frac{4}{2},11\text{to}2,22:3,\frac{30}{4},36:5$ .

. 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. $\begin{array}{l}\frac{4}{2},11\text{to}2,22:3,\frac{30}{4},36:5\\ \frac{4}{2},\frac{11}{2},\frac{22}{3},\frac{30}{4},\frac{36}{5}\left[\text{leastcommonmultipleof2,3,4,5is60}\right]\\ \frac{120}{60},\frac{330}{60},\frac{440}{60},\frac{450}{60},\frac{432}{60}\left[\text{convertintolikefractionsbymakingthedenominatorssame}\right]\\ \frac{120}{60},\frac{330}{60},\frac{432}{60},\frac{440}{60},\frac{450}{60}\left[\text{arrangefromleasttogreatest}\right]\\ \frac{4}{2},11\text{to}2,36:5,22:3,\frac{30}{4}\end{array}$

So, the order of the ratios from least to greatest is =$\frac{4}{2},11\text{to}2,36:5,22:3,\frac{30}{4}$ .