Question

O valor expressão
1
1+1+1
2 3 5

Answer 1

Resposta:

$\frac{31}{30}$

Explicação passo-a-passo:

$\frac{1}{2} + \frac{1}{3 } + \frac{1}{5} \\ \\ \frac{15 + 10 + 6}{30} \\ \\ \frac{31}{30}$

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Answer 2

Resposta:

$\textsf{Segue a resposta abaixo}$

Explicação passo-a-passo:

$\begin{array}{r r r|l}\sf2&\sf3&\sf5&\sf2\\\sf1&\sf3&\sf5&\sf3\\\sf1&\sf1&\sf5&\sf5\\\sf1&\sf1&\sf1&\!\!\!\overline{~\:\sf 2\cdot3\cdot5=30~}\end{array}$

$\mathsf{MMC(2,3,5)=30 }$

$\mathsf{ \dfrac{1}{2}+\dfrac{1}{3}+\dfrac{1}{5}=\dfrac{15}{30}+\dfrac{10}{30}+\dfrac{6}{30} }$

$\mathsf{\dfrac{1}{2}+\dfrac{1}{3}+\dfrac{1}{5}=\dfrac{15+10+6}{30} }$

$\boxed{\boxed{\mathsf{\dfrac{1}{2}+\dfrac{1}{3}+\dfrac{1}{5}=\dfrac{31}{30}}} }$