7th grade math please help!
3 1/2 + w - 5 1/4 = 8
Explain how to solve this equation pls

- 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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- anonymous

@Owlcoffee

- Nerdsarecool

So to solve it

- Nerdsarecool

You have to go from right to left

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## More answers

- Nerdsarecool

So

- Nerdsarecool

31/2 + w

- Nerdsarecool

Then

- anonymous

wait hold on how did you get 31/2

- Nerdsarecool

Oops

- Nerdsarecool

I meant

- Nerdsarecool

3 1/2

- Nerdsarecool

Sorry

- anonymous

oh ok

- Nerdsarecool

Then you do the answer to that minus 5 1/4

- Nerdsarecool

Equals 8

- Nerdsarecool

Thats how you solve it

- anonymous

Well um can you try to explain it a bit better?

- Nerdsarecool

Ok

- Nerdsarecool

First you do

- Nerdsarecool

3 1/2 + w

- Nerdsarecool

Which gives you an answer

- Nerdsarecool

Then you use that answer

- anonymous

what do you get?

- Nerdsarecool

I don't know

- Nerdsarecool

3 1/2w

- Nerdsarecool

Thats what you get

- anonymous

ok, then what?

- Nerdsarecool

Then you use that subtract it by 5 1/4

- 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?

- Nerdsarecool

4

- Nerdsarecool

4

- sleepyjess

Nerds, I'm trying to get the asker to the answer

- anonymous

Eh well it's four...

- sleepyjess

Good! So how do we make 2 go to 4?

- anonymous

multiply by 2

- anonymous

.

- 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?
\(\dfrac24 - \dfrac14\)?

- anonymous

-2

- sleepyjess

Yes, and
\(\dfrac24 - \dfrac14\)?

- anonymous

1/4

- sleepyjess

Yes! So now we have \(-2 \dfrac14 +w = 8\). Now, we need to find w, do you know how to do that?

- anonymous

subtract -2 1/4 by 8?

- sleepyjess

Close, -2 1/4 is a negative, so we need to add 2 1/4 to both sides :)

- anonymous

oh

- sleepyjess

So, 2 1/4 - 2 1/4 cancels out, leaving us with w, the 8 + 2 1/4 =?

- anonymous

72/4 ?

- sleepyjess

Not quite, 8 + 2 = 10, 10 + 1/4 = 10 1/4

- sleepyjess

So now we have, w = \(10 \dfrac14\)

- anonymous

oh so that's it? the k12 answer thing says 9 3/4 :o

- sleepyjess

that's weird...

- sleepyjess

@TheSmartOne , did I do something wrong?

- pooja195

Yes you did

- sleepyjess

Where?

- pooja195

Turn the fractions into improper fractions first

- sleepyjess

7/2
21/4

- anonymous

thats what I did and I got a totally different answer

- sleepyjess

14/4 - 21/4
7/4
1 3/4

- sleepyjess

Damn.... I'm sorry :(

- anonymous

@sleepyjess We all make mistake :D But how do I get the answer?

- pooja195

Ok
1) Turn them into improper
7/2
21/4
\[\huge~\rm~ \frac{ 7 }{ 2}+w-\frac{ 21 }{ 4 } \]

- pooja195

\[\huge~\rm~\frac{ 7 }{ 2 }-\frac{ 21 }{ 4 }=\frac{ -7 }{ 4 }\]

- anonymous

what happened to the addition sign?

- pooja195

The addition sign is still there however we can take out the w for the moment and we would subtract the 2 fractions

- anonymous

oh ok

- anonymous

I divided -7 and 4 and I got -1 3/4

- 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

- anonymous

Ok so I got 15/4?? Is that wrong

- pooja195

The 7/4's on the w side cancel out
15/4 is incorrect
So you really only need to do :
\[\huge~\rm~\bf~8+\frac{ 7 }{ 4}=?\]

- anonymous

Yes I did that and got 15/4

- anonymous

wait I read that wrong

- pooja195

Its alright try again :-)

- anonymous

Can you explain how to do that I keep getting the wrong answer

- pooja195

Ok
First we need to find a common denominator

- pooja195

*least common

- anonymous

4 right?

- pooja195

Yes 4 is right
\[\huge~\rm~\bf~\frac{ (4)8 }{ (4)1 }+\frac{ 7 }{ 4 }\]
\[\huge~\rm~\bf~\frac{ 32 }{ 4 }+\frac{ 7 }{ 4 }\]
\[\huge~\rm~\bf~\frac{ 32+7=? }{ 4}\]

- anonymous

39/4

- anonymous

Oh got the answer thank you Pooja

- pooja195

you're welcome ^_^

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