Willie579
  • Willie579
Math question. (Question below. c:)
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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Willie579
  • Willie579
\[\frac{ b }{ -3 } =1.5\] What is the value of b?
ganeshie8
  • ganeshie8
You need to isolate \(b\)
ganeshie8
  • ganeshie8
What operation on left hand side isolates \(b\) ?

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ChantySquirrel1129**
  • ChantySquirrel1129**
What is your first step? :D
Willie579
  • Willie579
I've been confused on things like these for awhile, and I'm not really good with fractions. :c
ChantySquirrel1129**
  • ChantySquirrel1129**
oh nvm cx
Willie579
  • Willie579
@ganeshie8 How do I isolate it?
ganeshie8
  • ganeshie8
before that, let me ask you a question
Willie579
  • Willie579
Yes?
ganeshie8
  • ganeshie8
suppose you have a piece of cake : |dw:1449301109714:dw|
ganeshie8
  • ganeshie8
as you can see that is a half piece
Willie579
  • Willie579
1.5=1/2
ganeshie8
  • ganeshie8
I give you another piece like that
Willie579
  • Willie579
Wait. nvm.
Willie579
  • Willie579
1.5= 1 1/2
ganeshie8
  • ganeshie8
then you will be having two half pieces : |dw:1449301211309:dw|
ganeshie8
  • ganeshie8
Having "two half pieces" is as good as having "one full cake", yes ?
Willie579
  • Willie579
Yes.
ganeshie8
  • ganeshie8
mathematically we say : \[\dfrac{1}{2} + \dfrac{1}{2} = 1\]
ganeshie8
  • ganeshie8
two half pieces = 1 full \[2*\dfrac{1}{2} = 1\]
ganeshie8
  • ganeshie8
think about it some time
Willie579
  • Willie579
I think I'm starting to kind of get it. :)
ganeshie8
  • ganeshie8
good
ganeshie8
  • ganeshie8
let me ask you another question
Willie579
  • Willie579
Yes?
ganeshie8
  • ganeshie8
suppose you have a cookie and you cut it into three equal pieces : |dw:1449301536315:dw|
ganeshie8
  • ganeshie8
and you give me one piece
ganeshie8
  • ganeshie8
how much of a cookie did you give me ?
Willie579
  • Willie579
2/3
ganeshie8
  • ganeshie8
think again, you gave me only one piece
Willie579
  • Willie579
So 1 whole?
ganeshie8
  • ganeshie8
you have 3 pieces and you gvae me 1 piece
ganeshie8
  • ganeshie8
you gave me 1 out of the 3 pieces
ganeshie8
  • ganeshie8
you gave me 1/3 of a cookie
ganeshie8
  • ganeshie8
that should make sense because you have divided the cookie into 3 equal pieces
Willie579
  • Willie579
Oh I thought you asked how much I had left. :/
ganeshie8
  • ganeshie8
Ohk... then you're correct, you will be having 2/3 rd of a cookie
ganeshie8
  • ganeshie8
notice that the total must add up to 1 : \[\dfrac{2}{3}+\dfrac{1}{3}=1\]
ganeshie8
  • ganeshie8
Also observe that the 3 equal pieces make up a full cookie : \[3*\dfrac{1}{3}=1\]
ganeshie8
  • ganeshie8
From that pattern, is it easy to guess below ? \[4*\dfrac{1}{4}=1\]
ganeshie8
  • ganeshie8
\[5*\dfrac{1}{5}=1\]
ganeshie8
  • ganeshie8
etc
Willie579
  • Willie579
@ganeshie8 So sorry, I was afk to do something. :c
UsukiDoll
  • UsukiDoll
\[\frac{ b }{ -3 } =1.5 \] multiply both sides by -3 to get rid of the fraction on the left hand side of the equation.
UsukiDoll
  • UsukiDoll
\[-3 \cdot \frac{ b }{ -3 } =1.5 \cdot -3\] we notice that there is a -3 on the numerator and a -3 on the denominator for the left hand side of the equation. those should cancel out which leaves just multiplying 1.5 by -3.
Willie579
  • Willie579
Thanks @UsukiDoll !!! :D
Willie579
  • Willie579
And thank you @ganeshie8 !! If only I can give two medals. :/

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