anonymous
  • anonymous
WILL MEDAL AND FAN Solve for x: 3 over 4 x + 5 over 8 = 4x it will be a fraction...
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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mathstudent55
  • mathstudent55
You mean this? |dw:1433463970632:dw|
anonymous
  • anonymous
I can't do fractions... I am better at decimals, so thanks for the help!
anonymous
  • anonymous
first, we isolate the variable, right.. SO we would do something with 5/8

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mathstudent55
  • mathstudent55
We can do this equation with decimals because the decimals in this case are simple and terminate. If you have a fraction which is a non-terminating decimal, changing fractions into decimals won't be such a good idea, so I think it's better to keep the fractions as fractions and work through them.
mathstudent55
  • mathstudent55
Yes, we do want to isolate the variable, so we need all terms with x on the left side.
anonymous
  • anonymous
would we add 5/8 to the other side?
mathstudent55
  • mathstudent55
We also want all simple numbers on the right side. Let's start by moving the 5/8 to the right side.
mathstudent55
  • mathstudent55
To decide whether we add 5/8 or subtract 5/8, you need to see what the 5/8 is doing where it is now.
mathstudent55
  • mathstudent55
The 5/8 is being added on the left side. The opposite of addition is subtraction, so we subtract 5/8 from both sides.
mathstudent55
  • mathstudent55
|dw:1433464376460:dw|
mathstudent55
  • mathstudent55
Ok, as you see, we already moved the 5/8 to the right side. Now we want the 4x on the left side.
mathstudent55
  • mathstudent55
To do that, we subtract 4x from both sides.
mathstudent55
  • mathstudent55
|dw:1433464587100:dw|
anonymous
  • anonymous
ok... I get it
anonymous
  • anonymous
kind of
mathstudent55
  • mathstudent55
We subtracted 4x from both sides. We are close to the answer. We have just a number on the right side, which is good. We have all terms with x on the left side. Now we need to combine both terms with x on the left side. Since we are dealing with fractions, we need to write 4x as a fraction.
anonymous
  • anonymous
4/1
mathstudent55
  • mathstudent55
Any whole number can be written as a fraction by simply writing the number over 1. For example, 5 = 5/1; x = x/1; 8 = 8/1
mathstudent55
  • mathstudent55
Good.
mathstudent55
  • mathstudent55
|dw:1433464750480:dw|
mathstudent55
  • mathstudent55
To add or subtract fractions, we need a common denominator. We need the LCD (lowest common denominator) between 4 and 1. The LCD of 4 and 1 is 4. The LCD is the smallest number that is divisible by both numbers.
mathstudent55
  • mathstudent55
|dw:1433464906174:dw|
anonymous
  • anonymous
omg the library closes in 4 minutes, do you think we could speed this up? Sorry to sound like a pain, believe me I appreciate any help that I get.
mathstudent55
  • mathstudent55
Since we need the fraction 4/1 to have a denominator of 4, and its denominator is now 1, we need to multiply the denominator by 4. That means we need to multiply the numerator also by 4. 4 * 4 = 16, so we get 16/4.
mathstudent55
  • mathstudent55
Yes, almost done. I'll go quickly. You can review it later.
mathstudent55
  • mathstudent55
We subtract the fractions on the left side. |dw:1433465019576:dw|
mathstudent55
  • mathstudent55
Since x is being multiplied by -13/4, we multiply both sides by its reciprocal: -4/13 |dw:1433465084258:dw|
mathstudent55
  • mathstudent55
The left side is only x. We multiplty the fractions on the right side and reduce.
mathstudent55
  • mathstudent55
|dw:1433465145822:dw|
mathstudent55
  • mathstudent55
Ok, gtg. Bye.
anonymous
  • anonymous
-5/26?
anonymous
  • anonymous
nvm i see your answer! Thank you soo much!
mathstudent55
  • mathstudent55
No, it's positive 5/26 since both fractions on the right side are negative, and negative times negative is positive.
mathstudent55
  • mathstudent55
You're welcome.

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