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Expert-verified Found in: Page 278 ### Pre-algebra

Book edition Common Core Edition
Author(s) Ron Larson, Laurie Boswell, Timothy D. Kanold, Lee Stiff
Pages 183 pages
ISBN 9780547587776 # Order the ratios from least to greatest.$\text{\hspace{0.17em}}\frac{4}{2},11\text{to}2,22:3,\frac{30}{4},36:5$

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

See the step by step solution

## Step 1 . Given

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

## Step 2 . To determine

We have to arrange the ratios from least to greatest.

## Step 3 . 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. $\begin{array}{l}\frac{4}{2},11\text{to}2,22:3,\frac{30}{4},36:5\\ \frac{4}{2},\frac{11}{2},\frac{22}{3},\frac{30}{4},\frac{36}{5}\text{}\left[\text{least common multiple of 2,3,4,5 is 60}\right]\\ \frac{120}{60},\frac{330}{60},\frac{440}{60},\frac{450}{60},\frac{432}{60}\text{}\left[\text{convert into like fractions by making the denominators same}\right]\\ \frac{120}{60},\frac{330}{60},\frac{432}{60},\frac{440}{60},\frac{450}{60}\text{}\left[\text{arrange from least to greatest}\right]\\ \frac{4}{2},11\text{to}2,36:5,22:3,\frac{30}{4}\end{array}$

So, the order of the ratios from least to greatest is =$\frac{4}{2},11\text{to}2,36:5,22:3,\frac{30}{4}$ . ### Want to see more solutions like these? 