Question

The length of a rectangle is 7 1/2 inches and the width is 4 3/4 inches. What is the ratio, using whole numbers, of the length to the width?
A. 30:38
B. 30:19
C. 15:19
D. 19:30

Answer 1

To solve this problem you must apply the proccedure shown below:

 1. You have the following information given in the problem above:

 - The length of a rectangle is 7 1/2 inches and its width is 4 3/4 inches

 2. Therefore, the ratio is:

 7 1/2 inches=7.5 inches=15/2=30/4
 4 3/4 inches= 4.75 inches=19/4

 length:width
 30:19

 The answer is the option b: B. 30:19

Answer 2

Ratio is a division in its simplest form. 
To get the ratio of length to width, divide the two then simplify.

In this case, convert the length and width into decimals.

length = 7 1/2 = 7.5
width 4 3/4 = 4.75

ratio of length to width is;
7.5/4.75 = 750/475

This can now be written as; 
750 : 475
Dividing both sides by 25;

= 750/25: 475/25

= 30 : 19