write the ratio as a fraction in lowest terms compare in inches 5 feet to 55 inches

Answer 1

To write the ratio as a fraction in lowest terms, we need to convert both measurements to the same unit.

Since 1 foot = 12 inches, we can convert the 5 feet to inches by multiplying it by 12:
5 feet = 5 * 12 = 60 inches

Now, we can compare the two measurements:
Ratio = 60 inches : 55 inches

To write this ratio as a fraction in lowest terms, we need to find the greatest common divisor (GCD) of 60 and 55.

The prime factorization of 60 is 2^2 * 3 * 5.
The prime factorization of 55 is 5 * 11.

The common prime factors between 60 and 55 are only 5.

Therefore, the GCD is 5.

Dividing both the numerator and the denominator by the GCD (5), we get:
60 inches : 55 inches = (60/5) inches : (55/5) inches = 12 inches : 11 inches

Hence, the ratio 5 feet to 55 inches can be expressed as the fraction 12/11 in lowest terms.