SOLUTION: Please help me explain to my daughter how to solve in simplest form the equation 7/9w = 7 Thank you

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Question 704635: Please help me explain to my daughter how to solve in simplest form the equation 7/9w = 7
Thank you

Found 2 solutions by Alan3354, Edwin McCravy:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Please help me explain to my daughter how to solve in simplest form the equation 7/9w = 7
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Not sure what "solve in simplest form" means.
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Solve for w
7/9w = 7
Is it (7/9)w? or 7/(9w)?
Makes a difference.

Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!
I'll assume it's 

expr%287%2F9%29w%22%22=%22%227

Since there is a fraction on the left side, make the
right side a fraction too by putting a 1 under it:

expr%287%2F9%29w%22%22=%22%227%2F1

What you want is w or 1w, not expr%287%2F9%29w.

So you have to multply 7%2F9 by its reciprocal 9%2F7
to make 7%2F9 into 1.

But if you multiply one side by 9%2F7 you have to
multiply the other side by 9%2F7 too.

expr%289%2F7%29%2Aexpr%287%2F9%29w%22%22=%22%22expr%289%2F7%29%2Aexpr%287%2F1%29

Cancel the 9's on the left:

expr%28cross%289%29%2F7%29%2Aexpr%287%2Fcross%289%29%29w%22%22=%22%22expr%289%2F7%29%2Aexpr%287%2F1%29

Cancel the 7's on the left AND the right:

expr%28cross%289%29%2Fcross%287%29%29%2Aexpr%28cross%287%29%2Fcross%289%29%29w%22%22=%22%22expr%289%2Fcross%287%29%29%2Aexpr%28cross%287%29%2F1%29

Now all that's left is

x%22%22=%22%229

Edwin