Question

The value of
(1-1/2) (1-1/3) (1-1/4) (1-1/10) =______​

Answer 1

Step-by-step explanation:

(1-1/2) = (2-1)/2 = 1/2

(1-1/3) = (3-1)/3 = 2/3

(1-1/4) = (4-1)/4 = 3/4

(1-1/10) = (10-1)/10 = 9/10

(1/2)(2/3)(3/4)(9/10) = (1/4)(9/10) = 9/40

Answer 2

ANSWER = 9/40

$\implies \: (1 - \frac{1}{2} )(1 - \frac{1}{3} )( 1 - \frac{1}{4} )(1 - \frac{1}{10} )$

$\implies \: ( \frac{1}{2} )( \frac{2}{3} )( \frac{3}{4} )( \frac{9}{10} )$

$\implies \: \frac{9}{40}$