Eli5 What really is a fraction TIMES a fraction?! It makes NO sense.

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I am reteaching myself math, but something is bugging me soooo bad and I can’t find the answer. What is a real life example of multiplying a fraction by a fraction? I was wondering why .05 to the 5th exponent would get smaller not bigger. This is driving me bonkers.

Sure 1/2 makes sense, but how about 1/2 times 3/5 in real life?!?

Edit: OMFG. Math is cool and makes sense. Finally, I’m 28. Thank you all!!!!

Edit: I was given an AP Scholar award, but it was not for math.

* * * The best explanation goes to the person who explained “times” and “of” were synonomous!!!! * * *

NOW EXPLAIN THIS: How am I in the 99.9th percentile for arithmetic, but suck at math?! Do I have potential? Am I still gifted in “math” or are math and arithmetic too separate things. A professor told me they are different parts of the brain.

In: Mathematics

38 Answers

Anonymous 0 Comments

This used to bug me a lot too, it clicked when I was thinking about areas. So, let’s say you multiply 2 lengths.

2m x 2m you get 4m2 (2 meters multiplied by 2 meters is 4 meters squared).
So, here the unit is changing from meters to meters squared (so, you are going from length to area). So, you are essentially making a big square with a side of 2m which is the same as 4 1mx1m squares = 4m2

Now, let’s think about fractions.

0.5mx0.5m is 0.25m2. Here, you are making a square with a 0.5m side, and if you think about a square with a side equal to 0.5 m, it would just take a quarter of space as a square with a 1m side which lines up perfectly.

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So, we understand that the magnitude is going down, but forget that the units are changing in ways which increases the difference between them dramatically.

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