SOLUTION: Ok so im on adding and subtracting mixed numbers and Im so confused on how the numerator is changing with the denominator...I dont no if im making sense but here is an example...

Question 283191: Ok so im on adding and subtracting mixed numbers and Im so confused on how the numerator is changing with the denominator...I dont no if im making sense but here is an example...

9 3/4 + 8 5/6
the numerators changed to 9 9/12 and 8 10/12 so confused I understand how to find everything else but that!
Found 2 solutions by richwmiller, oberobic:
Answer by richwmiller(17219) (Show Source): You can put this solution on YOUR website!
9 3/4 + 8 5/6
9 9/12 and 8 10/12
Maybe if I ask you some questions it will clear up what is happening.
Do you see how 3/4=9/12 ?
Do you see why 5/6=10/12 ?
Can you add 9 3/4 + 8 5/6 ?
Can you add 9 9/12 and 8 10/12 ?
How would you go about adding 9 3/4 + 8 5/6 ?
What would you do first?
What would you do next?
Answer by oberobic(2304) (Show Source): You can put this solution on YOUR website!
When you're dealing with fractions you need to get everything to the same denominator.
1/4 + 1/3 cannot be directly added using fractions.
The least common multiple of 4 and 3 is 12, so they can have the same denominator of 12.

So...

.
In this case, you're trying to add 9 3/4 + 8 5/6.
The least common multiple of 4 and 6 is 12. We can figure this out by multiplying 4*6=24, but we notice that 4=2*2 and 6=2*3, so 12 is the LEAST common multiple.
.
So...

.

.
But 19/12 is more than 1, it is

.

.
How do we know that 3/4 = 9/12?
.
Well, remember the idea is the 'least common multiple'.
.
To change 3/4 to 9/12 you simply look at how many times 4 goes into 12. 12/4 = 3
.
So you multiply 3/4 by 3/3 (Remember, you can multiply any number by 1, in this case 1 is 3/3.)
.

.
Similarly, how did 5/6 become 10/12?
It is the same process: 12/6 = 2
Multiply 5/6 by 1, which in this case is 2/2.
.

.
Done
RELATED QUESTIONS
I need help I am adding and subtracting polynomials and I get it and I understand the... (answered by stanbon)
ok, im really confused on this. I have a straight line, ETR, with a ray coming straight... (answered by josgarithmetic,stanbon)
im working on >>>> Adding and Subtracting Rational Expressions 7/(x+2)-4/(2... (answered by jim_thompson5910,oberobic)
ok so im working with slopes and i just keep getting everything confused and im going a... (answered by Alan3354)
I need help with adding and subtracting positive and negative numbers. So what is -300 -... (answered by jim_thompson5910)
Im having trouble with a certain problem it is -20 - (-50) = x/9 I need to solve the (answered by maciaemi)
ok so I'm having trouble on this problem: (-d^2+4d+3)(3d^2-7d+6) im suppose to multiply... (answered by josgarithmetic)
ok so here is my question on angle degrees this is what it says Find the angle measure (answered by stanbon)
The sum of two numbers is 50 and their difference is 18. Find the numbers. Im so... (answered by jim_thompson5910,solver91311)