Solve Rational Expressions: x/20 = (3/8)-(4/5)

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Homework Help Overview

The discussion revolves around solving a rational expression involving the equation x/20 = (3/8) - (4/5). Participants are exploring the calculations and reasoning behind finding a common denominator and simplifying the expression.

Discussion Character

  • Exploratory, Mathematical reasoning, Assumption checking

Approaches and Questions Raised

  • Participants discuss the calculation of the least common multiple (LCM) and its role in simplifying the fractions. There is confusion regarding the subtraction of fractions and whether the resulting value can be positive or negative. Some participants express uncertainty about their answers and the correctness of their calculations.

Discussion Status

The discussion is active, with participants questioning each other's calculations and assumptions. There is a recognition of the need to clarify the process of finding the LCM and simplifying the fractions. Some guidance is offered regarding combining fractions with a common denominator, but no consensus has been reached on the final answer.

Contextual Notes

Participants mention that the assignment involves solving equations after finding and factoring the LCM, which adds to the complexity of the discussion.

ramstin
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1. x/20 = (3/8)-(4/5)



2. solve



3. My attempt as far as I can tell there is no LCM so

3/8 becomes 15/40 4/5 becomes 32/40

(15/40)-(32/40)= 17/40 which equals 8.5/20 which means x=8.5




For some reason I don't think I got the right answer?
 
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ramstin said:
(15/40)-(32/40)= 17/40 which equals 8.5/20 which means x=8.5

For some reason I don't think I got the right answer?


[tex]\frac{15}{40}- \frac{32}{40} \neq \frac{17}{40}[/tex]


15/40 is less than 32/40. Do you think you answer would be positive?

If you have to find 3-4, you won't get 1. You'd get -1.
 
o.k. how do you get a LCM to factor with if the only LCM is 1?

Man I am confused :P
 
ramstin said:
o.k. how do you get a LCM to factor with if the only LCM is 1?

Man I am confused :P

Let's start over then.

[tex]\frac{3}{8}- \frac{4}{5}[/tex]


We agree that the common denominator is 40,right?


[tex]\frac{3}{8}- \frac{4}{5}= \frac{15}{40} - \frac{32}{40}[/tex]

Understand up to here right?


Now, if the denominators are the same, you can write it as one single fraction like so:

[tex]\frac{15}{40} - \frac{32}{40}= \frac{15-32}{40}[/tex]


Now you must find the value of 15-32
 
so that would be -17


-17/40 so it would be -8.5
 
I guess what is confusing me is that the assignment was about solving equations after finding and factoring the LCM.
 
ramstin said:
so that would be -17


-17/40 so it would be -8.5

Yep..
 

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