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Goran took 1/8 hours to clean the den. He took 3 1/2 hours to clean the bathroom. How much longer did it take Goran to clean the bathroom.

2 Answers

6 votes
It took Goran 3 3/8 hours longer to clean the bathroom
User Alen
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5 votes

Answer:

it took Goran 1 hour longer to clean the bathroom than it took him to clean the den.

Step-by-step explanation:

Answer:

To convert 3 1/2 hours to an improper fraction:

3 1/2 = 7/2

So, Goran took a total of:

1/8 + 7/2 = 8/8 + 28/8 = 36/8 = 4 1/2 hours

Thus, it took Goran:

4 1/2 - 3 1/2 = 1 hour longer to clean the bathroom.

Step-by-step explanation:

To solve the problem, we first need to convert the mixed number 3 1/2 to an improper fraction. We can do this by multiplying the whole number (3) by the denominator of the fraction (2) and adding the numerator (1):

3 x 2 + 1 = 7

So, 3 1/2 is equal to 7/2.

Next, we can add the time it took Goran to clean the den (1/8 hours) to the time it took him to clean the bathroom (7/2 hours):

1/8 + 7/2 = 8/8 + 28/8 = 36/8 = 4 1/2 hours

Therefore, it took Goran a total of 4 1/2 hours to clean both the den and the bathroom.

To find out how much longer it took Goran to clean the bathroom, we can subtract the time it took him to clean the den (1/8 hours) from the time it took him to clean both the den and the bathroom (4 1/2 hours):

4 1/2 - 3 1/2 = 1 hour

Therefore, it took Goran 1 hour longer to clean the bathroom than it took him to clean the den.

User Michael Edenfield
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7.6k points