Question

(1/3)*(2/4)*(3/5)*(4/6)*( 5/7)*(6/8)*(7/9)*(8/10) = (1/10) * ?
A: (3/19)
B: (2/9)
C: (1/9)
D: (2/90)

Answer 1

\[\frac{1*2*3*4*5*6*7*8}{3*4*5*6*7*8*9*10} = \frac{1}{10}*x =\frac{1*2*\cancel{3*4*5*6*7*8}}{\cancel{3*4*5*6*7*8}*9*10} \]

Answer 2

If only I was smart as you. I don't think outside the box. T~T

So let see, the numerator is 2.
Denominator is 90

So it's (2/90)?

Answer 3

Oh wait. I chose D, but I got it wrong.

Answer 4

bow whpalmer4 can I be your student?

Answer 5

No, after cancellation we have \[\frac{1*2}{9*10} = \frac{1}{10}*x\]

Answer 6

Oh I see.

\[\large \large \frac{ 2 }{ 90 } = \frac{ 1 }{ 10 }x\] Let see if I can remember this. We times both side by 10?

Answer 7

Wait! Stop! Look!

\[\frac{1*2}{9*10} = \frac{1}{10}*x\]
\[\frac{1*2}{10*9} = \frac{1}{10}*x\]

Answer 8

I don't get it. Isn't it the same thing?

Answer 9

Prepare your forehead for imminent impact :-)

\[\frac{1*2}{10*9} = \frac{1}{10}*x\]\[\frac{1}{10}*\frac{2}{9} = \frac{1}{10}*x\]

Answer 10

o.O?

Answer 11

\[\cancel{\frac{1}{10}*}\frac{2}{9} = \cancel{\frac{1}{10}}*x\]

Answer 12

OH WOW! T~T

Answer 13

I wasn't prepared for that...

Answer 14

Don't worry, those forehead dents go away quickly :-)

Answer 15

I hope so. T~T
Thanks! :D

Answer 16

you're welcome!