Final answer:
First, mixed numbers are converted to improper fractions. Then, the ratio is written as a fraction, a common denominator is found, and the ratio is simplified. The simplified ratio of 2 1/3 feet to 4 1/2 feet is 7/9.
Step-by-step explanation:
To simplify the ratio 2 1/3 feet to 4 1/2 feet, we first convert each mixed number to an improper fraction. 2 1/3 becomes 7/3 feet, and 4 1/2 becomes 9/2 feet. Then, we write the ratio as a fraction: 7/3 : 9/2. To simplify, we find a common denominator or make the second ratio's denominator 1 by dividing both parts of the ratio by the numerator of the second fraction, leading us to 14/6 : 18/6, which can be simplified to 7/9 when both numbers are divided by 2.
The final simplified ratio of 2 1/3 feet to 4 1/2 feet is 7/9, or in words, seven to nine.