Question

Math question. (Question below. c:)

Answer 1

\[\frac{ b }{ -3 } =1.5\] What is the value of b?

Answer 2

You need to isolate \(b\)

Answer 3

What operation on left hand side isolates \(b\) ?

Answer 4

What is your first step? :D

Answer 5

I've been confused on things like these for awhile, and I'm not really good with fractions. :c

Answer 6

oh nvm cx

Answer 7

@ganeshie8 How do I isolate it?

Answer 8

before that, let me ask you a question

Answer 9

Yes?

Answer 10

suppose you have a piece of cake :

Answer 11

as you can see that is a half piece

Answer 12

1.5=1/2

Answer 13

I give you another piece like that

Answer 14

Wait. nvm.

Answer 15

1.5= 1 1/2

Answer 16

then you will be having two half pieces :

Answer 17

Having "two half pieces" is as good as having "one full cake", yes ?

Answer 18

Yes.

Answer 19

mathematically we say :
\[\dfrac{1}{2} + \dfrac{1}{2} = 1\]

Answer 20

two half pieces = 1 full
\[2*\dfrac{1}{2} = 1\]

Answer 21

think about it some time

Answer 22

I think I'm starting to kind of get it. :)

Answer 23

good

Answer 24

let me ask you another question

Answer 25

Yes?

Answer 26

suppose you have a cookie and you cut it into three equal pieces :

Answer 27

and you give me one piece

Answer 28

how much of a cookie did you give me ?

Answer 29

2/3

Answer 30

think again, you gave me only one piece

Answer 31

So 1 whole?

Answer 32

you have 3 pieces
and you gvae me 1 piece

Answer 33

you gave me 1 out of the 3 pieces

Answer 34

you gave me 1/3 of a cookie

Answer 35

that should make sense because you have divided the cookie into 3 equal pieces

Answer 36

Oh I thought you asked how much I had left. :/

Answer 37

Ohk... then you're correct, you will be having 2/3 rd of a cookie

Answer 38

notice that the total must add up to 1 :
\[\dfrac{2}{3}+\dfrac{1}{3}=1\]

Answer 39

Also observe that the 3 equal pieces make up a full cookie :
\[3*\dfrac{1}{3}=1\]

Answer 40

From that pattern, is it easy to guess below ?
\[4*\dfrac{1}{4}=1\]

Answer 41

\[5*\dfrac{1}{5}=1\]

Answer 42

etc

Answer 43

@ganeshie8 So sorry, I was afk to do something. :c

Answer 44

\[\frac{ b }{ -3 } =1.5 \]
multiply both sides by -3 to get rid of the fraction on the left hand side of the equation.

Answer 45

\[-3 \cdot \frac{ b }{ -3 } =1.5 \cdot -3\]
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.

Answer 46

Thanks @UsukiDoll !!! :D

Answer 47

And thank you @ganeshie8 !! If only I can give two medals. :/