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

Answer 1

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.