Ratio reduced to lowest terms 139 hours to 2 days
well, 2 days = 48 hours, so ...
To reduce the given ratio, 139 hours to 2 days, to its lowest terms, you need to find the greatest common divisor (GCD) of the two numbers, which in this case are 139 and 2.
First, convert 2 days into hours. Since there are 24 hours in a day, multiplying 2 days by 24 gives you 48 hours.
So, the ratio can be written as 139 hours to 48 hours.
Now, find the GCD of 139 and 48. One way to find the GCD is by using the Euclidean algorithm, which involves dividing the greater number by the smaller number and then dividing the remainder by the previous divisor until the remainder is 0. The last non-zero remainder is the GCD.
139 ÷ 48 = 2 with a remainder of 43
48 ÷ 43 = 1 with a remainder of 5
43 ÷ 5 = 8 with a remainder of 3
5 ÷ 3 = 1 with a remainder of 2
3 ÷ 2 = 1 with a remainder of 1
2 ÷ 1 = 2 with no remainder (0)
The last non-zero remainder is 1, so the GCD of 139 and 48 is 1.
To reduce the ratio to its lowest terms, divide both numbers by the GCD:
139 ÷ 1 = 139
48 ÷ 1 = 48
Therefore, the ratio 139 hours to 48 hours, reduced to its lowest terms, is 139:48.