SOLUTION: Please help me with this problem. I am confused and am trying to learn how to solve this type of problem. It is a fraction on top of a fraction and needs to be simplified; If anyon
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Question 188737: Please help me with this problem. I am confused and am trying to learn how to solve this type of problem. It is a fraction on top of a fraction and needs to be simplified; If anyone can help me understand this I would greatly appreciate it. Thank you.
2
--- +1
x+3
---
4
---- +2
x+3
Found 2 solutions by jim_thompson5910, stanbon:
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given expression.
Multiply the term "1" in the numerator by
Combine the upper fractions.
Combine like terms.
Multiply the term "2" in the denominator by
Distribute
Combine the lower fractions.
Combine like terms.
Multiply the upper fraction by the reciprocal of the lower fraction.
Factor to get
Combine the fractions.
Highlight the common terms.
Cancel out the common terms.
Simplify
So simplifies to
In other words, where or
-----------------------------------------------------------------------
Note: in this case, the problem can be simplified in another way:
Start with the given expression.
Factor out the GCF from the denominator
Highlight the common terms.
Cancel out the common terms.
Simplify
So where or
Note: this technique does not always apply.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
----------
[(2/(x+3))+1] / [(4/(x+3)) +2]
-----------
[2 + x+3]/(x+3) / [4 + 2(x+3)]/(x+3
-------------
Invert and multiply
[[2 + x+3]/(x+3)]
------
Simplify and cancel to get:
= [x+5] /[2x +10]
-----
Factor:
= [x+5] / [2(x+5)]
---
Cancel to get:
= 1/2
==================================
Cheers,
Stan H.
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