Chapter 6.5, Problem 22E

To determine

To calculate:the order of ratios $5:3,6:4,\frac{11}{3},3to1,33:100$ from least to greatest.

Answer to Problem 22E

The order of the ratios $5:3,6:4,\frac{11}{3},3to1,33:100$ from least to greatest is $33:100,6:4,5:3,3:1,11:3$ .

Explanation of Solution

Given information :

  $5:3,6:4,\frac{11}{3},3to1,33:100$ .

Calculation : to find the order of ratios from least to greatest , first write the ratio in the form of fraction then arrange in the order,

  $\frac{5}{3},\frac{6}{4},\frac{11}{3},\frac{3}{1},\frac{33}{100}$

To ordered in least to greatest, first equal the denominator,

  $\begin{array}{l}\frac{5}{3},\frac{6}{4},\frac{11}{3},\frac{3}{1},\frac{33}{100}\\ \frac{500}{300},\frac{450}{300},\frac{1100}{300},\frac{900}{300},\frac{99}{300}\text{ [equal the denominator]}\end{array}$

In order of least to greatest ,

  $\frac{33}{100}<\frac{6}{4}<\frac{5}{3}<\frac{3}{1}<\frac{11}{3}$

  $33:100,6:4,5:3,3:1,11:3$

Hence,The order of the ratios $5:3,6:4,\frac{11}{3},3to1,33:100$ from least to greatest is $33:100,6:4,5:3,3:1,11:3$ .