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anonymous
 one year ago
WILL MEDAL AND FAN
Solve for x: 3 over 4 x + 5 over 8 = 4x
it will be a fraction...
anonymous
 one year ago
WILL MEDAL AND FAN Solve for x: 3 over 4 x + 5 over 8 = 4x it will be a fraction...

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mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.2You mean this? dw:1433463970632:dw

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I can't do fractions... I am better at decimals, so thanks for the help!

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0first, we isolate the variable, right.. SO we would do something with 5/8

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.2We can do this equation with decimals because the decimals in this case are simple and terminate. If you have a fraction which is a nonterminating 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
 one year ago
Best ResponseYou've already chosen the best response.2Yes, we do want to isolate the variable, so we need all terms with x on the left side.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0would we add 5/8 to the other side?

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.2We also want all simple numbers on the right side. Let's start by moving the 5/8 to the right side.

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.2To 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
 one year ago
Best ResponseYou've already chosen the best response.2The 5/8 is being added on the left side. The opposite of addition is subtraction, so we subtract 5/8 from both sides.

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.2dw:1433464376460:dw

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.2Ok, as you see, we already moved the 5/8 to the right side. Now we want the 4x on the left side.

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.2To do that, we subtract 4x from both sides.

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.2dw:1433464587100:dw

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.2We 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.

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.2Any 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
 one year ago
Best ResponseYou've already chosen the best response.2dw:1433464750480:dw

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.2To 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
 one year ago
Best ResponseYou've already chosen the best response.2dw:1433464906174:dw

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0omg 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
 one year ago
Best ResponseYou've already chosen the best response.2Since 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
 one year ago
Best ResponseYou've already chosen the best response.2Yes, almost done. I'll go quickly. You can review it later.

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.2We subtract the fractions on the left side. dw:1433465019576:dw

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.2Since x is being multiplied by 13/4, we multiply both sides by its reciprocal: 4/13 dw:1433465084258:dw

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.2The left side is only x. We multiplty the fractions on the right side and reduce.

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.2dw:1433465145822:dw

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0nvm i see your answer! Thank you soo much!

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.2No, it's positive 5/26 since both fractions on the right side are negative, and negative times negative is positive.
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