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31 May, 17:06

Noa was walking in the forest and measured the circumference of two trees that he found. The first tree measured 37 5/8 inches around, and the second tree measured 45 1/3 inches around. Noa wanted to find the difference of the circumferences of the two trees. He recorded his steps in the table.

Step 1: 45 1/3 - 37 5/8

Step 2: 45 8/24 - 37 15/24

Step 3: 44 32/24 - 37 15/24

Step 4: 44 32/24 - 37 15/24 = 8 17/24

In which step did Noa first make an error?

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Answers (2)
  1. 31 May, 17:08
    0
    step 4 is correct so D

    Step-by-step explanation:

    i just took the test
  2. 31 May, 17:15
    0
    Step 4: 44 32/24 - 37 15/24 = 8 17/24

    Here we can finally find out the mistake done by Noa. The result is 7 17/24 and not 8 17/24.

    Step-by-step explanation:

    1. Let's review carefully all the steps taken by Noa to calculate the difference of the circumferences of the two trees.

    Circumference Tree 1 = 37 5/8 inches around

    Circumference Tree 2 = 45 1/3 inches around

    Step 1: 45 1/3 - 37 5/8

    The measures are correct, no issues copying them.

    Step 2: 45 8/24 - 37 15/24

    Noa looked for common denominators

    1/3 * 8/8 = 8 / 24 is correct; 5/8 * 3/3 = 15/24 is also correct.

    Step 3: 44 32/24 - 37 15/24

    Noa looked for making the fraction part higher on the left side:

    45 8/24 = 44 32/24 is correct because 24/24 = 1

    Step 4: 44 32/24 - 37 15/24 = 8 17/24

    Here we can finally find out the mistake done by Noa. The result is 7 17/24 and not 8 17/24.
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