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Katelyn ate ⅓ of an apple pie, and Chad ate ⅜ of the same pie. What fraction of the pie was eaten?

1 Answer

5 votes

Answer:

17/24

Explanation:

1. This is an addition problem. Remember, when adding fractions, you first need to find a common denominator.

  • What is a number that both 3 and 8 go into? (If you don't know, then you can just multiply the numbers and use that as the denominator)
  • 3 x 8 = 24
  • The new denominator is 24.

2. To find the numerator, multiply the current numerators by the number of times the original denominators divide into 24.

  • For example, 3 divides into 24 a total of 8 times. So, multiply 1 by 8 to turn 1/3 into 8/24.
  • Do the same for 3/8, except multiply it by 3 because 8 goes into 24 three times. This makes the fraction equal 9/24.

3. Now that the denominators are the same, add the numerators and keep the denominator for now.

  • 8/24 + 9/24 = 17/24

4. Usually, you would have to reduce the fraction, but since 17/24 is already reduced to its simplest form, 17/24 is your answer.

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