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

- anonymous

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

You mean this?
|dw:1433463970632:dw|

- anonymous

I can't do fractions... I am better at decimals, so thanks for the help!

- anonymous

first, we isolate the variable, right.. SO we would do something with 5/8

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## More answers

- 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

Yes, we do want to isolate the variable, so we need all terms with x on the left side.

- anonymous

would we add 5/8 to the other side?

- mathstudent55

We also want all simple numbers on the right side.
Let's start by moving the 5/8 to the right side.

- 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

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

|dw:1433464376460:dw|

- 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

To do that, we subtract 4x from both sides.

- mathstudent55

|dw:1433464587100:dw|

- anonymous

ok... I get it

- anonymous

kind of

- 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

4/1

- 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

Good.

- mathstudent55

|dw:1433464750480:dw|

- 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

|dw:1433464906174:dw|

- 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

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

Yes, almost done.
I'll go quickly.
You can review it later.

- mathstudent55

We subtract the fractions on the left side.
|dw:1433465019576:dw|

- mathstudent55

Since x is being multiplied by -13/4, we multiply both sides by its reciprocal: -4/13
|dw:1433465084258:dw|

- mathstudent55

The left side is only x.
We multiplty the fractions on the right side and reduce.

- mathstudent55

|dw:1433465145822:dw|

- mathstudent55

Ok, gtg.
Bye.

- anonymous

-5/26?

- anonymous

nvm i see your answer! Thank you soo much!

- mathstudent55

No, it's positive 5/26 since both fractions on the right side are negative, and negative times negative is positive.

- mathstudent55

You're welcome.

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