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Hannah runs for 1/6 hour in class and 5/8 hour at home. bout how long does she Run in all

2 Answers

2 votes

Final answer:

Hannah runs for 1/6 hour in class and 5/8 hour at home. By converting both to a common denominator of 24, adding them, and then converting the result to minutes, she runs for about 47.5 minutes in total.

Step-by-step explanation:

To calculate the total amount of time Hannah runs, we need to add the time she runs in class to the time she runs at home. She runs for 1/6 hour in class and 5/8 hour at home. To add these fractions, it is necessary to have a common denominator.

First, find the least common multiple (LCM) of the denominators 6 and 8, which is 24. Then, convert both fractions to have this common denominator:

  • For 1/6, multiply both the numerator and the denominator by 4 to get 4/24.
  • For 5/8, multiply both the numerator and the denominator by 3 to get 15/24.

Now that both fractions have a common denominator, you can add them:

4/24 + 15/24 = 19/24

The sum of 19/24 represents the total time Hannah runs. To give an estimate or to express this time in minutes, you can do the following:

(19/24) × 60 minutes = 47.5 minutes

Therefore, Hannah runs for about 47.5 minutes in total.

User Tim Mutton
by
8.8k points
3 votes

Would it be 19/24?

Not sure if this is right but.

Multiply by the common denominator

1/6->4/24

5/8->15/24

Add them: 19/24

User Nikhil Katekhaye
by
8.8k points

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