6/7×7/8×8/9×9/10×10/11, 1/2×2/3×3/4×....×23/24×24/25

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To simplify this expression, we multiply all the fractions together:

(6/7) (7/8) (8/9) (9/10) (10/11) (1/2) (2/3) (3/4) ... (23/24) (24/25)

We can see that each numerator (except the first and last) cancels out with the next denominator, leaving only the first numerator (6) and the last denominator (25):

= 6/25