simple multiplication question: multiplying radial fractions I'm having a bit of brain block right

sembuang711q6

sembuang711q6

Answered question

2022-04-10

simple multiplication question: multiplying radial fractions
I'm having a bit of brain block right now.
In order to multiply any fractions you simply reduce to lowest form, then multiply num., then denom. When I tried with fractions in radian form it didn't work out so well.
consider: ( 6 π / 5 ) ( 2 π / 3
If I want to keep the π in the numerator I thought I should just multiply 6 and 2 to get 12 for 12 π. But I don't think that's a mathematically sound method of multiplication. So I figured I should just multiply the entire numerator and then divide out π: so that's ( 6 π ) ( 2 π ) = 118.4352528 then divide out π which gives me 37.69911184 which isn't right because it should be an integer.I know I'm missing something very fundamental here. Any help appreciated.

Answer & Explanation

Maeve Holloway

Maeve Holloway

Beginner2022-04-11Added 25 answers

In terms of multiplication, there is nothing special about π, you just multiply fractions in the usual way:
6 π 5 2 π 3 = 12 π 2 15 = 4 π 2 5   .
It's not an integer, and there is no particular reason why it should be.

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