Complete to express each ratio in simplest form.
How do I do 18 feet: 5yards =_____feet :______ feet= ______: _______
18ft:5yds = 18ft:15ft = = 6:5
To express each ratio in its simplest form, we need to find the greatest common divisor (GCD) of each given ratio and divide each term by it.
1. 18 feet: 5 yards
First, we need to convert yards to feet, as we want to express the ratio entirely in feet. Since 1 yard is equal to 3 feet, we can multiply the number of yards by 3 to obtain the equivalent in feet.
5 yards * 3 feet/yard = 15 feet
So, the given ratio becomes:
18 feet : 15 feet
Next, let's find the GCD of 18 and 15. The factors of 18 are 1, 2, 3, 6, 9, and 18, while the factors of 15 are 1, 3, 5, and 15. The largest number that both ratios share is 3.
Dividing each term by 3, we get:
18 feet ÷ 3 = 6 feet
15 feet ÷ 3 = 5 feet
Therefore, the simplest form of the ratio is:
6 feet : 5 feet or 6:5
2. _____ feet : ______ feet
Since the ratio is not specified, we cannot simplify it as it is. We need more information in order to find the simplest form of the ratio.