Question

Simplificar as frações:

10!
____
9!



8!
___
10!

Answer 1

Olá,

a)

$\sf \: \frac{10!}{9!} = \sf \: \frac{10. \: 9!}{9!} = \sf \: \frac{10. \: \cancel{9!}}{ \cancel{9!}} = 10$

b)

$\sf \: \frac{8!}{10!} = \sf \: \frac{ 8!}{10. \: 9. \: 8!} = \sf \: \frac{\cancel{8!}}{ 10. \: 9. \: \cancel{8!}} = \frac{1}{10. \: 9} = \frac{1}{90}$

Answer 2

$\large\boxed{\begin{array}{l}\sf\dfrac{10!}{9!}\\\sf\dfrac{10\cdot\sf\diagup\!\!\!9!}{\diagup\!\!\!9!}=10\end{array}}\blue{\checkmark}$

$\large\boxed{\begin{array}{l}\sf\dfrac{8!}{10!} =\dfrac{\diagup\!\!\!\!8!}{10\cdot9\cdot\diagup\!\!\!\!\!\!8!}=\dfrac{1}{90}\end{array}}\blue{\checkmark}$