Mathematics
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OpenStudy (anonymous):
7th grade math please help!
3 1/2 + w - 5 1/4 = 8
Explain how to solve this equation pls
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OpenStudy (anonymous):
@Owlcoffee
OpenStudy (nerdsarecool):
So to solve it
OpenStudy (nerdsarecool):
You have to go from right to left
OpenStudy (nerdsarecool):
So
OpenStudy (nerdsarecool):
31/2 + w
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OpenStudy (nerdsarecool):
Then
OpenStudy (anonymous):
wait hold on how did you get 31/2
OpenStudy (nerdsarecool):
Oops
OpenStudy (nerdsarecool):
I meant
OpenStudy (nerdsarecool):
3 1/2
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OpenStudy (nerdsarecool):
Sorry
OpenStudy (anonymous):
oh ok
OpenStudy (nerdsarecool):
Then you do the answer to that minus 5 1/4
OpenStudy (nerdsarecool):
Equals 8
OpenStudy (nerdsarecool):
Thats how you solve it
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OpenStudy (anonymous):
Well um can you try to explain it a bit better?
OpenStudy (nerdsarecool):
Ok
OpenStudy (nerdsarecool):
First you do
OpenStudy (nerdsarecool):
3 1/2 + w
OpenStudy (nerdsarecool):
Which gives you an answer
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OpenStudy (nerdsarecool):
Then you use that answer
OpenStudy (anonymous):
what do you get?
OpenStudy (nerdsarecool):
I don't know
OpenStudy (nerdsarecool):
3 1/2w
OpenStudy (nerdsarecool):
Thats what you get
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OpenStudy (anonymous):
ok, then what?
OpenStudy (nerdsarecool):
Then you use that subtract it by 5 1/4
OpenStudy (sleepyjess):
Okay, first we'll need to subtract \(3 \dfrac12 - 5\dfrac14\)
To do that, we'll need to find a common denominator. Do you know how to do that?
OpenStudy (nerdsarecool):
4
OpenStudy (nerdsarecool):
4
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OpenStudy (sleepyjess):
Nerds, I'm trying to get the asker to the answer
OpenStudy (anonymous):
Eh well it's four...
OpenStudy (sleepyjess):
Good! So how do we make 2 go to 4?
OpenStudy (anonymous):
multiply by 2
OpenStudy (anonymous):
.
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OpenStudy (sleepyjess):
Yes! So we have to multiply the top AND bottom by 2, which gives us \(3 \dfrac24 - 5\dfrac14\)
Now, what is 3-5?
\(\dfrac24 - \dfrac14\)?
OpenStudy (anonymous):
-2
OpenStudy (sleepyjess):
Yes, and
\(\dfrac24 - \dfrac14\)?
OpenStudy (anonymous):
1/4
OpenStudy (sleepyjess):
Yes! So now we have \(-2 \dfrac14 +w = 8\). Now, we need to find w, do you know how to do that?
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OpenStudy (anonymous):
subtract -2 1/4 by 8?
OpenStudy (sleepyjess):
Close, -2 1/4 is a negative, so we need to add 2 1/4 to both sides :)
OpenStudy (anonymous):
oh
OpenStudy (sleepyjess):
So, 2 1/4 - 2 1/4 cancels out, leaving us with w, the 8 + 2 1/4 =?
OpenStudy (anonymous):
72/4 ?
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OpenStudy (sleepyjess):
Not quite, 8 + 2 = 10, 10 + 1/4 = 10 1/4
OpenStudy (sleepyjess):
So now we have, w = \(10 \dfrac14\)
OpenStudy (anonymous):
oh so that's it? the k12 answer thing says 9 3/4 :o
OpenStudy (sleepyjess):
that's weird...
OpenStudy (sleepyjess):
@TheSmartOne , did I do something wrong?
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pooja195 (pooja195):
Yes you did
OpenStudy (sleepyjess):
Where?
pooja195 (pooja195):
Turn the fractions into improper fractions first
OpenStudy (sleepyjess):
7/2
21/4
OpenStudy (anonymous):
thats what I did and I got a totally different answer
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OpenStudy (sleepyjess):
14/4 - 21/4
7/4
1 3/4
OpenStudy (sleepyjess):
Damn.... I'm sorry :(
OpenStudy (anonymous):
@sleepyjess We all make mistake :D But how do I get the answer?
pooja195 (pooja195):
Ok
1) Turn them into improper
7/2
21/4
\[\huge~\rm~ \frac{ 7 }{ 2}+w-\frac{ 21 }{ 4 } \]
pooja195 (pooja195):
\[\huge~\rm~\frac{ 7 }{ 2 }-\frac{ 21 }{ 4 }=\frac{ -7 }{ 4 }\]
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OpenStudy (anonymous):
what happened to the addition sign?
pooja195 (pooja195):
The addition sign is still there however we can take out the w for the moment and we would subtract the 2 fractions
OpenStudy (anonymous):
oh ok
OpenStudy (anonymous):
I divided -7 and 4 and I got -1 3/4
pooja195 (pooja195):
\[\huge~\rm~\bf~w+\frac{- 7 }{ 4 }+\frac{ 7 }{ 4 }=8+\frac{ 7 }{ 4 }\]
can you solve for w
you dont divide those leave it as it is
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OpenStudy (anonymous):
Ok so I got 15/4?? Is that wrong
pooja195 (pooja195):
The 7/4's on the w side cancel out
15/4 is incorrect
So you really only need to do :
\[\huge~\rm~\bf~8+\frac{ 7 }{ 4}=?\]
OpenStudy (anonymous):
Yes I did that and got 15/4
OpenStudy (anonymous):
wait I read that wrong
pooja195 (pooja195):
Its alright try again :-)
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OpenStudy (anonymous):
Can you explain how to do that I keep getting the wrong answer
pooja195 (pooja195):
Ok
First we need to find a common denominator
pooja195 (pooja195):
*least common
OpenStudy (anonymous):
4 right?
pooja195 (pooja195):
Yes 4 is right
\[\huge~\rm~\bf~\frac{ (4)8 }{ (4)1 }+\frac{ 7 }{ 4 }\]
\[\huge~\rm~\bf~\frac{ 32 }{ 4 }+\frac{ 7 }{ 4 }\]
\[\huge~\rm~\bf~\frac{ 32+7=? }{ 4}\]
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OpenStudy (anonymous):
39/4
OpenStudy (anonymous):
Oh got the answer thank you Pooja
pooja195 (pooja195):
you're welcome ^_^