Question

como se soma uma fraçao a si mesmo???????
Ex: " ao somarmos 2 sobre 10 a si mesmo 5 vezes obtemos como resultado o numero 1" pfvr me ajudem e pra hj!!!

Answer 1

$\Large\boxed{\begin{array}{l}\underline{\rm Vou\,resolver\,de\,duas\,formas:}\\\sf 1^a\,usando\,a\,ideia\,de\,soma\\\sf 2^a\,usando\,a\,ideia\,de\,multiplicac_{\!\!,}\tilde ao\end{array}}$

$\Large\boxed{\begin{array}{l}\underline{\rm 1^a\,forma\!:}\\\sf\dfrac{2}{10}+\dfrac{2}{10}+\dfrac{2}{10}+\dfrac{2}{10}+\dfrac{2}{10}\\\\\sf aqui\,basta\,repetir\,o\,denominador\\\sf e\,somar\,os\,numeradores.\\\sf\dfrac{2}{10}+\dfrac{2}{10}+\dfrac{2}{10}+\dfrac{2}{10}+\dfrac{2}{10}=\dfrac{2+2+2+2+2}{10}\\\\\sf=\dfrac{10}{10}\\\\\sf toda\,frac_{\!\!,}\tilde ao\,\acute e\,uma\,divis\tilde ao\,logo\\\sf\dfrac{10}{10}=1\end{array}}$

$\Large\boxed{\begin{array}{l}\underline{\rm 2^a\,forma\!:}\\\sf A\,soma\,de\,elementos\,iguais\\\sf caracteriza\,uma\,multiplicac_{\!\!,}\tilde ao.\\\sf neste\,caso\,ao\,somar\,\dfrac{2}{10}~~5\,vezes\,\acute e\,o\,mesmo\\\sf que\,multiplicar\,esta\,frac_{\!\!,}\tilde ao\,por\,5.\\\sf Portanto\\\sf\dfrac{2}{10}\cdot5=\dfrac{2}{10}\cdot\dfrac{5}{1}=\dfrac{2\cdot5}{10\cdot1}=\dfrac{10}{10}=1\end{array}}$