Question

resolva a razão 5/2 (2 + 1/3)

Answer 1

5/2 (2 + 1/3) =
= 10/2 + 5/6 =             m.m.c. (2, 6) = 6
= (30 + 5)/6 =
= 35/6

Ou também:

5/2 (2 + 1/3) =            m.m.c. (1, 3) = 3
= 5/2 . (6 + 1)/3 =
= 5/2 . 7/3 =
= 35/6

Answer 2

Se a razão for:

$\frac{ \frac{5}{2}}{2+ \frac{1}{3}}= \frac{ \frac{5}{2}}{ \frac{7}{3}}= \frac{5}{2}. \frac{3}{7}= \frac{15}{14}$

Se a razão for $\frac{5}{2}$ e a mesma for multiplicada por $(2+\frac{1}{3})$, então:

$\frac{5}{2}(2+ \frac{1}{3})= \frac{5}{2}. \frac{7}{3}= \frac{35}{6}$

Usando a distributividade:

$\frac{5}{2}(2+ \frac{1}{3})= \frac{10}{2}+ \frac{5}{6}= \frac{30+5}{6}= \frac{35}{6}$