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Author Topic: Does (2x)/3 = (2/3)x?  (Read 2417 times)

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October 06, 2020, 05:58:25 AM
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JamesCB

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Does (2x)/3 = (2/3)x?
« on: October 06, 2020, 05:58:25 AM »
Here is a math question that I was curious about, and I have no idea what to do with it.

Does (2x)/3 = (2/3)x?
« Last Edit: October 06, 2020, 10:15:04 AM by JamesCB »

October 06, 2020, 06:31:08 AM
Reply #1

Legion

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Re: Does (2x)/3 = (2/3)x?
« Reply #1 on: October 06, 2020, 06:31:08 AM »
Yes

You can swap the order of division and multiplication (though not with addition or subtraction). So if you start with 2, multiply by x (to get 2x) and divide by 3, you get the same result as if you divided by 3 (to get 2/3) and multiplied by x.

October 06, 2020, 07:22:23 AM
Reply #2

JamesCB

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Re: Does (2x)/3 = (2/3)x?
« Reply #2 on: October 06, 2020, 07:22:23 AM »
Thanks! We were talking about graphing linear equations the other day, and the teacher wrote the equation 2x/3, and I think that as the first time I saw someone (in a slope-intercept equation) write the x with the fraction.