Kado spent 1 2/3 hours painting a fence. Then he spent 4/5 of an hour walking his dog. How much longer did he spend painting than walking?
1 2/3 - 4/5 = 25/15 - 12/15 = 13/15
To find out how much longer Kado spent painting than walking, we need to subtract the time he spent walking from the time he spent painting.
First, let's convert the mixed number 1 2/3 to an improper fraction.
1 2/3 can be written as (1 * 3 + 2) / 3 = 5/3.
So Kado spent 5/3 hours painting the fence.
Next, we need to convert the fraction 4/5 of an hour to the same denominator as 5/3, which is 15.
To do this, we multiply both the numerator and denominator of 4/5 by 3:
(4 * 3) / (5 * 3) = 12/15.
Therefore, Kado spent 12/15 hours walking his dog.
Now, let's subtract the time spent walking from the time spent painting:
5/3 - 12/15.
To subtract fractions with different denominators, we need to find a common denominator. In this case, the least common denominator (LCD) is 15, which is already the denominator of 12/15.
To subtract the fractions, we keep the same denominator and subtract the numerators:
(5 - 12) / 15 = -7/15.
So Kado spent -7/15 hours longer painting than walking. The negative sign indicates that he spent less time painting than walking.