why would i times this by three

Discussion in 'Algebra' started by kiallabrahams, Mar 8, 2024.

  1. kiallabrahams

    kiallabrahams

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    In the equation 6 3/4=r/3 . You times both sides by three. why?
     
    kiallabrahams, Mar 8, 2024
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  2. kiallabrahams

    HallsofIvy

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    To "solve for r" MEANS to get r by itself on one side of the equation: "r= something" or "something= r".
    In 5 3/4= r/3" r is NOT by itself because it is divided by 3. To get rid of that 3, we need to do the opposite- and the opposite of "divide by 3" is "multiply by 3". And, of course, to keep things balanced we need to do the same thing to both sides of the equation.=

    Multiplying r/3 by 3 gives r(3/3)= r(1)= r.
    On the other side, either 3*5= 15 and 3*3/4= 9/4= 2 1/4 so 17 1/4
    or 5 3/4= 20/4+ 3/4= 23/4 multiplying by 3, 69/4= 17 1/4.
     
    HallsofIvy, Mar 8, 2024
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  3. kiallabrahams

    kiallabrahams

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    yho bruh i wish u were my math teacher
     
    kiallabrahams, Mar 9, 2024
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