write the ratio 20 inches to 3 feet using fractional notation simplify the fraction to lowest terms use 1 foot = 12 inches to first write feet as inches
To convert feet to inches, we can use the conversion factor 1 foot = 12 inches.
3 feet in inches is 3 x 12 = 36 inches.
Therefore, the ratio of 20 inches to 3 feet is 20/36.
To simplify this fraction to its lowest terms, we can find the greatest common divisor (GCD) of 20 and 36.
The prime factorization of 20 is 2^2 x 5.
The prime factorization of 36 is 2^2 x 3^2.
The common factors are 2^2, so the GCD is 2^2 = 4.
Dividing both the numerator and denominator by 4, we get:
20/36 = (20/4)/(36/4) = 5/9.
Therefore, the ratio 20 inches to 3 feet, in its lowest terms, is 5/9.
To write feet as inches, we use the conversion that 1 foot is equal to 12 inches. So, in this case, 3 feet can be written as 3 * 12 inches, which is equal to 36 inches.
So, the ratio 20 inches to 3 feet can be written as 20/36.
To write feet as inches, we can use the conversion factor that 1 foot is equal to 12 inches.
Now, let's convert 3 feet into inches:
3 feet = 3 * 12 inches = 36 inches
So, the ratio of 20 inches to 3 feet can be written as:
20 inches : 36 inches
To simplify this ratio to its lowest terms, we can find the greatest common divisor (GCD) of 20 and 36.
The factors of 20 are 1, 2, 4, 5, 10, and 20.
The factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, and 36.
The GCD of 20 and 36 is 4.
Now, we can divide both the numerator and denominator by 4 to simplify the ratio:
20/4 : 36/4
5 : 9
So, the simplified ratio is 5:9.