Question
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Decide whether the following proportion is true or false.

Is the proportion true or false?
false
true

Ask by Lawson Stephens. in the United Arab Emirates
Mar 16,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

The proportion is false.

Solution

  1. Write the given proportion:
  2. Simplify the fraction on the right:
  3. Compare the two fractions:
    Clearly, .
  4. Therefore, the proportion is false.

Answered by UpStudy AI and reviewed by a Professional Tutor

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Simplify this solution

Beyond the Answer

Let’s break it down! First, we can simplify the second fraction, . Dividing both the numerator and the denominator by their greatest common factor of 2 gives us . Now, comparing with , it’s clear that they are not equal as . So, the proportion is indeed false!
Now for some fun! Imagine this scenario: You’re at a pizza party and you have to share 15 slices among 11 friends. Each friend receives a slice, but with we would need to cut more pizzas to satisfy them. So your original ratio is way cooler for those slices but remember to share the love! 🍕

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