Find the LCD of both fractions, then simplify the expression. Assume that no denominator equals zero. 5/3x^2y - 4/6xy^3

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Find the LCD of both fractions, then simplify the expression. Assume that no denominator equals zero. 5/3x^2y - 4/6xy^3

Mathematics
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The LCD is finding the smallest denominator that makes them both the same.

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Do you have any ideas of how to start doing that?
how do i find that?
not sure, sorry
Ok, the two denominators are|dw:1433440171339:dw|
I mean... |dw:1433440214478:dw|
ok
If we multiply the left one by 2, we get a common coefficient|dw:1433440278787:dw|
Do you see how that gives us a common coefficient of 6?
|dw:1433440359049:dw|
yes, because 2 times 3 is 6?
Right.
And we have 2 x's on the left, but only 1 on the right.
So we need to multiply the right side by x to make the number of x's the same
|dw:1433440468526:dw|
i see
:-) How do you think we can make the number of y's the same?
times it by y?
Close. That would give us:|dw:1433440631552:dw|
So the numbers of y's still aren't quite the same.
they arent?
ok whats next
It looks like we have 2 y's on the left, but 3 on the left.
i see
you mean 3 on the right?
Yeah, sorry.
ok
So, we need one more y on the left.
ok, so do we mulitply again?
Yep
|dw:1433440911998:dw|
Yep, great! So, are the denominators the same now?
yes
Great! So, in the full problem, how do we make that both denominators?
|dw:1433441111648:dw|
Like that?
But we can't just change the denominators. We have to also change the numerators to keep everything balanced.
oh, i forgot about that
ow do we do that?
how*
What do we need to multiply by the first denominator to get it to be our LCM?
*LCD
not sure, sorry.
|dw:1433441688086:dw|
what do i put in the (?)?
What did we multiply by to get the LCD of the left side?
by y?
Was that all?
i think so....
No, |dw:1433442752287:dw| so we need to multiply the left fraction on top and bottom by 2y^2
oh
|dw:1433442908806:dw|
Can you simplify?
how do i simplify??
Multiply
multiply the 5 by the 2y^2?
Yep
10y^2/6x^2y^3?
Yep, great! How about the other fraction?
|dw:1433443839427:dw| Like this??
so 8y2/12xy^5?
8y^2/12xy^5 @JoannaBlackwelder
is that all i need to do? @JoannaBlackwelder
please reply i have 20 mins to get this done :( @JoannaBlackwelder
Sorry, I was doing some online tutoring. But no, we didn't multiply by 2y^2 on the right fraction to get the LCD.
ok
|dw:1433445935170:dw|
We need to multiply the right fraction by x to make common denominators.
i got that part
|dw:1433446083616:dw|
i see
:-)
|dw:1433446145225:dw|
So, now we can subtract the numerators, and the denominators stay the same.
So, what does that give us?
6y^2x?
No, I mean for the whole fraction.
im having a hard time subtracting the bottom
It stays the same. Doesn't subtract.
ohh i see
|dw:1433446648437:dw|
so,6y^2x/6x^2y^3
No, only like terms can add.
ok
so its 10y^2 - 4x/6x^2y^3 is that all??
Well, we can simplify a bit by factoring out a 2
what 2?
i do have to get this turned in now, if i don't i will get a 0
the 2 on 6 and 10??
Yes, and the 4
You can turn it in like that. You should get partial credit
ok, but if i were to do it some other time what can i do?
|dw:1433447702331:dw|
ok, thank you for all of your help, sorry that took so long.
And the twos cancel out. |dw:1433447840612:dw|
You're welcome :-)

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