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

A fraction is a way to say you want to multiply by one number *and* also divide by another number.

90 * (2/3) means start with 90, then multiply by 2, and then divide by 3.

Multiplying more than one fraction is to apply each fraction’s multiplication and division. (2/3) * (4/5) means 2 / 3 * 4 / 5. And because the order of multiplications and divisions is not significant, you can reorder this as 2 * 4 / 3 / 5.

Then that can be combined and simplified to (2 * 4) / (3 * 5), or 8 / 15.

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