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Hey trigonometry idiot again. This time I'm having trouble

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Hey trigonometry idiot again.

This time I'm having trouble understanding how this:

3.1 (5π/3)

Becomes this: 31π/6


I've typed it into mathway, but mathway comes up with a different answer each time. I also don't know what to call this kind of operation, so I'm at a loss for google terms. If you know how to help me understand this, then I would greatly appreciate your assistance.

Please, and thank you in advance.
>>
>>309512
That's just multiplication.

Substitute x for pi and you'll see:

3.1(5x/3)
=3.1(10x/6)
=(3.1*10)(x/6)
=31x/6

As this works in the general case, obviously it must also work when x equals pi.
>>
>>309518
Thanks for the response. I apologize in advance for my slowness

Why did
3.1 (5x/3) become
3.1(10x/6)?

Why did it get multiplied by 2?
>>
>>309528
Whenever you like you can multiply the top and the bottom of a fraction by the same number:

1/2=2/4=609/1218

I imagine the reason for the move from y/3 to y/6 is because 31x/6=16.5x/3, and mixing fractions and decimals is poor form.

You could also go

3.1(5x/3)
=15.5x/3
=31x/6
>>
>>309528

Remember that 5x/3 can be written as a fraction
5*x
-----
3

A fraction can be multiplied by anything equal 1 as long as you apply is to both terms. Multiply by 2/2 --> 5*x/6
You could also multiply with 10 --> 50*x/30 !
The question is if that will lead to any useful result...
>>
>>309546

* 10*x/6
>>
>>309533
Oooohhhh, okay! I get it now. Thank you so much!!

You are the kindest anon I've ever met. If you want some nice music, then I'll give you the stream I'm listening to while studying.

It's the least I can do for your kind help. Thank you.
https://www.youtube.com/watch?v=OpIQNxiKJoE
Thread posts: 7
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