Question

qual a soma de 1\4 + 1\3

Answer 1

R  =  A soma das frações é igual a 7/12

⠀

$\large\dfrac{1}{4}~+~\dfrac{1}{3}\\\\\\Calculando~o~MMC~entre~4~e~3:\\\\\\\begin{array}{r|l} 4, 3& 2\\ 2, 3& 2\\ 1, 3& 3\\ 1, 1&2~.~2~.~3~=~\bf{12}\end{array}\\\\\\\\\dfrac{(12\div4\times1)~+~(12\div3\times1)}{12}\\\\\\\text{ \dfrac{3~+~4}{12}~=~\boxed{\bf{\dfrac{7}{12}}}~\star }$

⠀

⠀

Resolvendo de outra forma:

⠀

$\large\dfrac{1}{4}~+~\dfrac{1}{3}\\\\\\\large\dfrac{1~\times~3}{4~\times~3}~+~\dfrac{1~\times~4}{3~\times~4}\\\\\\\large\dfrac{3}{12}~+~\dfrac{4}{12}\\\\\\\largeRepete~os~denominadores~e~soma~os~numeradores:\\\\\\\large\text{ \dfrac{3~+~4}{12}~=~\boxed{\bf{\dfrac{7}{12}}}~\star }$

Answer 2

Resposta:

$\textsf{Segue a resposta abaixo}$

Explicação passo-a-passo:

$\begin{array}{l}\begin{array}{rr|l}\sf4&\sf3&\sf2\\\sf2&\sf3&\sf2\\\sf1&\sf3&\sf3\\\sf1&\sf1&\!\!\!\overline{~\:\sf2\cdot2\cdot3=12~}\end{array}\\\\\sf MMC(4,3)=12\\\\\sf\dfrac{1}{4}+\dfrac{1}{3}=\dfrac{3}{12}+\dfrac{4}{12}\\\\\sf\dfrac{1}{4}+\dfrac{1}{3}=\dfrac{3+4}{12}\\\\\boxed{\boxed{\sf \dfrac{1}{4}+\dfrac{1}{3}=\dfrac{7}{12}}}\end{array}$