Question

quanto e 9/35 X 30/9 com resposta completa?​

Answer 1

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$\sf\dfrac{9}{35}\times\dfrac{30}{9}=\dfrac{270}{315}\\\begin{array}{c|l}\sf270,315&\sf2\\\sf135,315&\boxed{\sf3}&\sf45,105&\boxed{\sf3}\\\sf15,35&\sf3\\\sf5,35&\boxed{\sf5}\\\sf1,7&\sf7\\\sf1,1\end{array}\implies MDC(270,315)=3\cdot3\cdot5=45\checkmark\\\sf\dfrac{9}{35}\cdot\dfrac{30}{9}=\dfrac{270\div45}{315\div45}=\dfrac{6}{7}\checkmark$

$\underline{\rm outra~soluc_{\!\!,}\tilde ao:}\\\boxed{\sf\dfrac{\backslash\!\!\!9}{\diagup\!\!\!\!\!35_7}\times\dfrac{\diagup\!\!\!\!\!30^6}{\backslash\!\!\!9}=\dfrac{6}{7}}\checkmark$