Question

Can someone please help me with this math question?
Please? I will fan and give a medal!!

Answer 1

Please help me to simplify this rational expression --
(8y) (7x)
------ * -------
(14x^2) (8z^3)

Answer 2

the idea is to concentrate first on just the numbers
if you had
\[ \frac{8 \cdot 7 }{14 \cdot 8} \]
could you simplify this ?

If I were doing it, I would write it as
\[ \frac{8}{8} \cdot \frac{7}{14} \]

Answer 3

May I ask why you would write it like that?

Answer 4

as you know, we can reorder multiplies and divisions
and
8/8 is easy
and
7/14 is almost as easy

it's a lot easier than doing
7*8= 56
and
14*8= 112
and simplifying
56/112

Answer 5

Oh okay I understand now!

Answer 6

So 7/14 = 1/2
What about the x^2?

Answer 7

Ok so would I be left with just one x?

Answer 8

now z's. but you only have z^3 in the bottom. so we are done:
\[ \frac{xy}{2z^3}\]

Answer 9

oh wait, the x's should have simplified to 1/x
so the answer is
\[ \frac{y}{2xz^3} \]

Answer 10

the \[ \frac{x}{x^2} = \frac{x}{x} \cdot \frac{1}{x} =\frac{1}{x}\]

Answer 11

Sir I think some of your replies are being deleted... I can't see them anymore

Answer 12

yes, I deleted the posts that had mistakes. Less confusing (I hope)

Answer 13

Oh okay, I just wanted to make sure I wouldn't miss a step...
Thank you very much for your help!! I appreciate it!!