Question
Decide whether the following proportion is true or false.
Is the proportion true or false?
false
true
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
-
Write the given proportion:
-
Simplify the fraction on the right:
-
Compare the two fractions:Clearly,
. -
Therefore, the proportion is false.
Answered by UpStudy AI and reviewed by a Professional Tutor
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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! 🍕