Back to Simple Algebra: Solve 76.262 Equation

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In summary, the individual is seeking assistance in getting rid of the denominator of 900 in the given equation. After realizing the common factor of 900, they are able to successfully solve the equation by multiplying all terms by 900. The decimal part in the equation does not play a significant role in the solution.
  • #1
simpComp
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Hello,

Okay, after doing perhaps 1 hour of math a year for 20 years, I realize I forgot a lot!

Can someone please tell what I need to do if I want to get rid of the denominator of 900 in the following expression:

76.262 = ((124 + 30b - c)/900) + c

Please see attachment to see exact equation...

I am trying to find a number I can multiply 124 so that the result can be divided by 900... but I can seem to find it?

Thanks
 

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  • #2
nevermind ... digging up my old algebra notes, I figured that I can multiply every term by 900...

jeeeezzze,,,
 
  • #3
The denominators shown in the equation are 1000 and 900. See the "76.262". The common factor is 233253
 
  • #4
In all due respect, where do you see 1000 as a denominator?
 
  • #5
To get rid of the 900 we could
simply multiply all terms by 900...no?

(900)76.262 =
((900*124 + 900*30b - 900*c)/900) + 900*c

this works!
thanks
 
  • #6
simpComp said:
In all due respect, where do you see 1000 as a denominator?

Already explained in my post. It is correct, but unnecessary if you wish to maintain decimalized result.
 
  • #7
simpComp said:
Hello,

Okay, after doing perhaps 1 hour of math a year for 20 years, I realize I forgot a lot!

Can someone please tell what I need to do if I want to get rid of the denominator of 900 in the following expression:

76.262 = ((124 + 30b - c)/900) + c

Please see attachment to see exact equation...

I am trying to find a number I can multiply 124 so that the result can be divided by 900... but I can seem to find it?

Thanks

Now that I look at the equation again, my picking at the decimal part, ".262" with denominator of 1000 plays no part in the solution. Changing the form would not be useful unless a specific application depended on it.
 
  • #8
thanks for your help...
it is most appreciated !
 

FAQ: Back to Simple Algebra: Solve 76.262 Equation

What is the first step in solving this equation?

The first step in solving this equation is to isolate the variable to one side of the equal sign by using inverse operations. In this case, we need to subtract 76.262 from both sides.

How do I solve for the variable?

To solve for the variable, we need to use the order of operations and apply inverse operations to both sides of the equation until the variable is isolated on one side. In this case, we would subtract 76.262, divide by the coefficient, and then simplify.

Can I check my solution?

Yes, you can check your solution by plugging it back into the original equation and simplifying both sides. If the simplified expressions on both sides are equal, then your solution is correct.

What if I end up with a negative number as my solution?

If you end up with a negative number as your solution, it is important to check your work and make sure you did not make a mistake in your calculations. If you are confident in your work, then the negative solution is still valid.

Is there any other way to solve this equation?

Yes, there may be other methods to solve this equation, such as using substitution or elimination. However, the steps outlined in this problem are the most common and efficient way to solve a simple algebraic equation like this one.

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