kado spent 1 2/3 hours painting a fence. Then he spent 4/5 of an hour walking the dog. How much longer did he spend painting than walking the dog
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Orleans chose C as the correct answer.How did she get that answer
bad answer
Kado spent 1 (2/3) hours painting and then spent (4/5) of an hour walking. Did Kado spend 1 (2/15) hours longer painting than walking?
To find out how much longer Kado spent painting than walking the dog, we need to subtract the time spent walking the dog from the time spent painting.
First, let's convert the mixed number 1 2/3 into an improper fraction.
To do this, we need to multiply the whole number (1) by the denominator of the fraction (3) and then add the numerator (2). Since 1 * 3 = 3, we get 3 + 2 = 5. Therefore, 1 2/3 as an improper fraction is 5/3.
Now, we can subtract the time spent walking the dog (4/5) from the time spent painting (5/3).
To subtract fractions, we need to have the same denominator. In this case, the least common denominator (LCD) of 3 and 5 is 15.
Now, let's convert the fractions 5/3 and 4/5 to have a denominator of 15:
5/3 can be multiplied top and bottom by 5 to get 25/15.
4/5 can be multiplied top and bottom by 3 to get 12/15.
Now, we can subtract the fractions: 25/15 - 12/15 = (25-12)/15 = 13/15.
Therefore, Kado spent 13/15 hours longer painting than walking the dog.
1 2/3 - 4/5
5/3 = 25/15
4/5 = 12/15
25/15 - 12/15 = ?