Question

Prove that 1/9!+1/10!+1/11!=122/11!

Answer 1

1/9!+1/10!+1/11!=122/11! 

9! get cancel 

= 1+ 1/10 + 1/110 = 122/110

taking L.C.M 

= 110 + 11 + 1/110 = 122/110

110 get cancel

= 110 + 11 + 1 = 122

=122 = 122

Proved........

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Answer 2

to prove 1/9!+1/10!+1/11! = 122/11!

Step-by-step explanation:

1/9! +1/10×9!+1/11!

(1/9!+1/10×9!)+1/11!

taking Lcm of equation in bracket

1/9!×10/10+1/10×9!)+1/11

=11/10×9!+1/11!

11/10!+1/11×10!

taking lcm as 11

11/10!× 11/11 + 1/11!

121/11!+1/11!

=122/11!

Lhs =Rhs

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