Solve

$$\frac{2 X 4 X 6 + 6 X 12 X 18 + 10 X 20 X 30 + 14 X 28 X 42 + 18 X 36 X 54}{1 X 3 X 5 + 2 X 6 X 10 + 4 X 12 X 20 + 8 X 24 X 40}$$

Without using a calculator.
Show your steps as to how you arrived at the answer.

Question

Solve 

$$\frac{2 X 4 X 6 + 6 X 12 X 18 + 10 X 20 X 30 + 14 X 28 X 42 + 18 X 36 X 54}{1 X 3 X 5 + 2 X 6 X 10 + 4 X 12 X 20 + 8 X 24 X 40}$$ 

Without using a calculator. 
Show your steps as to how you arrived at the answer.

pythagoras123 · Answer

P.S. In the expression above, X means (multiplied by). 

In other words X is the multiplication symbol and not an algebraic unknown.

pythagoras123 · Answer

help @experimentX

lgbasallote · Answer

you can factor them out one by one...for example..factor out 3 from numerator and denom

lgbasallote · Answer

$\LARGE \frac{2X2X2 + 2X12X18 + 10X20X10 + 14X28X14 + 6X36X54}{5 + 2X2X10 + 4X4X20 + 8X8X40}$

experimentx · Answer

(2(1x2x3) + 6(1x2x3) + 10(1x2x3)+ 14(1x2x3) + 18(1x2x3))
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(1x3x5) + 2(1x3x5)+4(1x3x5)+8(1x3x5)

(1x2x3)(2 +6 + 10 +14 +18)
-----------------------
(1x3x5)( 1 + 2+ 4 +5)