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• Module 1 Day 4 Challenge Part 1

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  You have a good point; we usually simplify fractions when possible! Here, however, if we simplified 4/10 to 2/5, for example, then it would seem to say that we made only 5 attempts, when we really made 10 attempts. We simplify when we are about the ratio between two numbers, not so much the value of the numbers. In this problem, the number of initial attempts was fixed, and we are trying to figure out how much the numerator and denominator need to increase by (x, which is 4).

  Happy Learning,

  The Daily Challenge Team

• Module 1 Day 4 Challenge Part 2

  Rational Equations

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  @funnyorangutan-1 👏 👏

• Module 1 Day 4 Challenge Part 3

  Rational Equations

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• Module 1 Day 4 Challenge Part 4

  Alternate Shortcut Solution

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  Thank you @debbie, now I understand ! 😊 😊 😊

• Module 1 Day 4 Your Turn Part 1

  Common Denominator, Comparing Improper Fractions

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  From the lesson, we saw that our number gets closer to 1 (which means larger) as we do so, so the largest of these choices is ⁴⁹/₉.

  There's no fraction that is ⁴⁹/₉ in the question. The corrected version:

  From the lesson, we saw that our number gets closer to 1 (which means larger) as we do so, so the largest of these choices is 5 ⁴/₉.

• Module 1 Day 4 Your Turn Part 2

  Common Denominator, Comparing Improper Fractions

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  @angeliccanary Yep, that's exactly right-- good job! 🙂

  (As a sidenote-- you found that 11/3 is the biggest fraction out of all of them. Can you use the same common numerator method to figure out which of 22/7 and 33/10 is bigger - and complete the problem that way?)