The simplified ratio of 2 feet to 8 inches is 3:1. By converting both measurements to inches and finding the greatest common factor, the ratio is expressed in its simplest form, where for every 3 inches, there is 1 inch, providing a clear and concise representation of the relationship.
To simplify the ratio 2 feet to 8 inches, it's essential to have the units in the same form. We can convert both measurements to a common unit for easier comparison.
First, convert 2 feet to inches. Since 1 foot is equal to 12 inches, 2 feet is equivalent to 24 inches. Now, the ratio becomes 24 inches to 8 inches.
Next, simplify the ratio by finding the greatest common factor (GCF) of 24 and 8, which is 8. Divide both the numerator and denominator by 8 to get the simplified ratio.
The simplified ratio is 3:1, where 3 represents the length in inches and 1 is the common unit of measurement. This means that for every 3 inches, there is 1 inch, and the original ratio of 2 feet to 8 inches has been simplified.
In conclusion, by converting both measurements to inches and simplifying the resulting ratio, the simplified ratio of 2 feet to 8 inches is 3:1.