(1 - 1/4) . (1 - 1/9) ...... (1 - 1/676)
= 3/4 . 8/9 ........ 675/676
= \(\frac{1.3.2.4....25.27}{2.2.3.3......26.26}\)
= \(\frac{\left(1.2....25\right)\left(3.4....27\right)}{\left(2.3....26\right)\left(2.3....26\right)}\)
= \(\frac{27}{26.2}\)
= \(\frac{27}{52}\)