Short Answer 
The ratio expresses the relationship between the height and width of the tapestry, initially calculated as 1.5:1. After simplifying by dividing both numbers by their greatest common divisor, the final ratio in whole numbers is determined to be 3:2.
Step 1: Understanding Ratios
The ratio expresses the relationship between two quantities using whole numbers. In this case, we are looking at the ratio of height to width of the tapestry. Ratios can be simplified to their lowest terms, often represented as a:b, where a and b are integers.
Step 2: Calculating the Initial Ratio
Given the dimensions of the tapestry, where the width is 1 meter and the height is 1.5 meters, we can find the ratio as follows:
- Write the ratio as Height:Width ‚ÄöUi 1.5:1
- Convert the ratio into a fraction ‚ÄöUi 1.5/1 = 1.5
- Eliminate the decimal by multiplying by 10 ‚ÄöUi 15/10
Step 3: Simplifying the Ratio
To express the ratio in whole numbers, we simplify 15:10. This can be done by dividing both sides by their greatest common divisor:
- Divide both numbers by 5 ‚ÄöUi 15 ‚à ö‚à ë 5 = 3 and 10 ‚à ö‚à ë 5 = 2
- The simplified ratio of height to width becomes 3:2
- Thus, the final proportion of the tapestry’s height to width using whole numbers is 3:2.