SOLUTION: I would like to see the steps to solve this: 7/b+b/x/(2/b) when x=7 and b=4

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Question 886739: I would like to see the steps to solve this: 7/b+b/x/(2/b) when x=7 and b=4
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
7/b+b/x/(2/b)
First simplify that expression.
7%2Fb%2Bb%2Fx%2F%282%2Fb%29

Let's do this right.

The second rational part, complex is some divisions so work from left to right.
b%2Fx%2F%282%2Fb%29

%28b%2Fx%29%2A%28b%2F2%29

b%5E2%2F%282x%29
-
Now revising the given expression,
7%2Fb%2Bb%2Fx%2F%282%2Fb%29

7%2Fb%2Bb%5E2%2F%282x%29, and LCD is 2bx.

%287%2Fb%29%282x%29%2F%282x%29%2B%28b%5E2%2F%282x%29%29%28b%2Fb%29

14x%2F%282bx%29%2Bb%5E2%2F%282bx%29

highlight%28%2814x%2Bb%5E2%29%2F%282bx%29%29

Substitute the given values:
%2814%2A7%2B4%2A4%29%2F%282%2A4%2A7%29

%2898%2B16%29%2F%282%2A2%2A2%2A7%29

114%2F%282%2A2%2A2%2A7%29

%282%2A57%29%2F%282%2A2%2A2%2A7%29

57%2F%284%2A7%29

highlight%28highlight%2857%2F28%29%29
THIS IS WHAT WE HAVE. No Other way about it.

BELOW CONTENT IS STILL GOOD----------------------------------------------

7%2Fb%2Bb%2F%28x%28b%2F2%29%29

7%2Fb%2Bb%2F%28%28bx%29%2F2%29

7%2Fb%2Bb%2A2%281%2F%28bx%29%29

7%2Fb%2B%282b%29%2F%28bx%29

highlight%287%2Fb%2B2%2Fx%29

You might want to perform the rational expression addition indicated, too.
highlight%28%287x%2B2b%29%2F%28bx%29%29. At least one of these would be convenient to use.

Now just substitute what you are given.

....
highlight%2857%2F28%29

Answer by MathTherapy(10557) About Me  (Show Source):
You can put this solution on YOUR website!

I would like to see the steps to solve this: 7/b+b/x/(2/b) when x=7 and b=4

7%2Fb+%2B+%28b%2Fx%29%2F%282%2Fb%29_____7%2Fb+%2B+%28b%2Fx%29+%2A+%28b%2F2%29_____7%2F4+%2B+%284%2F7%29+%2A+%284%2F2%29___7%2F4+%2B+%284%2F7%29+%2A+2___7%2F4+%2B+8%2F7____%2849+%2B+32%29%2F28_____highlight_green%28highlight_green%2881%2F28%29%29, or highlight_green%28highlight_green%282%2625%2F28%29%29