Question

9!+11!entre 10!+11! necesito ayuda es urgente!!!

Answer 1

Recordemos el factorial de un número

                         $\boxed{\boldsymbol{\vphantom{\bigg|}\hphantom{A}\sf{n!= n(n-1)(n-2)\cdots (3)(2)(1)}}\hphantom{A}}$

Ya conociendo esto resolvamos el enunciado

                                              $\begin{array}{c}\sf{\dfrac{9!+11!}{10!+11!}}\\\\\sf{\dfrac{9!+\boldsymbol{\sf{11(10)(9!)}}}{\boldsymbol{\sf{10(9)!}}+\boldsymbol{\sf{11(10)(9)!}}}}\\\\\sf{Factorizamos\ 9!}\\\\\dfrac{9!(1 + 11(10))}{9!(10 + 11(10))}\\\\\sf{Simplificamos}\\\\\dfrac{1 + 11(10)}{10 + 11(10)}\\\\\sf{Operamos}\\\\\dfrac{1 + 110}{10 + 110}\\\\\boxed{\boxed{\boldsymbol{\red{\dfrac{111}{120}}}}}\end{array}$

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