What is the fractional ratio of 59 hours to 5 days lowest terms
To find the fractional ratio of 59 hours to 5 days in lowest terms, we need to convert both quantities to the same units. Since there are 24 hours in a day, we can say that 5 days is equal to 5 * 24 = 120 hours.
Now, we can write the fractional ratio as follows:
59 hours : 120 hours
To simplify this ratio to lowest terms, we need to find the greatest common divisor (GCD) of 59 and 120, and then divide both numbers by the GCD.
The prime factorization of 59 is: 59 = 59
The prime factorization of 120 is: 120 = 2^3 * 3 * 5
Since 59 and 120 share no common prime factors, their GCD is 1.
Dividing both numbers by 1, we get:
59 ÷ 1 = 59
120 ÷ 1 = 120
Therefore, the simplified fractional ratio of 59 hours to 5 days in lowest terms is:
59 : 120