Question

Order the ratios from least to greatest.

$\frac{15}{4},19\text{to5},\frac{53}{15},4:1,18\text{to}6$

Short answer

The order of the ratios from least to greatest is$\text{18to6},\frac{53}{15},\frac{15}{4},19\text{to}5,4:1$ .

Step-by-step solution

. Given

The given ratios are:$\frac{15}{4},19\text{to5},\frac{53}{15},4:1,18\text{to}6$ .

. 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.

$\begin{array}{l}\frac{15}{4},19\text{to5},\frac{53}{15},4:1,18\text{to}6\\ \frac{15}{4},\frac{19}{5},\frac{53}{15},\frac{4}{1},\frac{18}{6}\left[\text{leastcommonmultipleof4,5,15,6is60}\right]\\ \frac{225}{60},\frac{228}{60},\frac{212}{60},\frac{240}{60},\frac{180}{60}\left[\text{convertintolikefractionsbymakingthedenominatorssame}\right]\\ \frac{180}{60},\frac{212}{60},\frac{225}{60},\frac{228}{60},\frac{240}{60}\left[\text{arrangefromleasttogreatest}\right]\\ \text{18to6},\frac{53}{15},\frac{15}{4},19\text{to}5,4:1\end{array}$

So, the order of the ratios from least to greatest is =$\text{18to6},\frac{53}{15},\frac{15}{4},19\text{to}5,4:1$ .