Question

5/7 + 3/14 + 9/21 + 17/28
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Answer 1

Resposta:

$\textsf{Segue a resposta abaixo}$

Explicação passo-a-passo:

$\mathsf{\dfrac{5}{7}+\dfrac{3}{14}+\dfrac{9}{21}+\dfrac{17}{28} }$

$\begin{array}{rrrr|l}\sf7&\sf14&\sf21&\sf28&\sf2\\\sf7&\sf7&\sf21&\sf14&\sf2\\\sf7&\sf7&\sf21&\sf7&\sf3\\\sf7&\sf7&\sf7&\sf7&\sf7\\\sf1&\sf1&\sf1&\sf1&\!\!\!\overline{~\:\sf2\cdot2\cdot3\cdot7=84~}\end{array}$

$\mathsf{ MMC(7,14,21,28)=84}$

$\mathsf{\dfrac{60}{84}+\dfrac{18}{84}+\dfrac{36}{84}+\dfrac{51}{84} }$

$\mathsf{\dfrac{60+18+36+51}{84} }$

$\mathsf{\dfrac{165\div3}{84\div3} }$

$\boxed{\boxed{ \mathsf{ \dfrac{55}{28}}}}\quad\leftarrow\textsf{resposta}~\checkmark$