Question

Calcule a expressão:
2/3 x 4/5 + 7/6

a) 5/7
b) 17/10
c) 1/2
d) 1/4
me ajudem por favor.​

Answer 1

Resposta:

$\textsf{Leia abaixo}$

Explicação passo-a-passo:

$\mathsf{ E=\dfrac{2}{3}\cdot\dfrac{4}{5}+\dfrac{7}{6}}$

$\mathsf{ E=\dfrac{ 8}{15}+\dfrac{7}{6}}$

$\begin{array}{rr|l}\sf15&\sf6&\sf2\\\sf15&\sf3&\sf3\\\sf5&\sf1&\sf5\\\sf1&\sf1&\!\!\!\overline{~\:\sf2\cdot3\cdot5=30~}\end{array}$

$\mathsf{MMC(15,6)=30 }$

$\mathsf{ E=\dfrac{ 16}{30}+\dfrac{ 35}{30}}$

$\mathsf{E=\dfrac{51}{30}\rightarrow Simplificando~ por~3\!\!: }$

$\boxed{\boxed{\mathsf{E=\dfrac{51\div3}{30\div3}= \dfrac{17}{10} }}}\leftarrow\sf letra ~B$