Question

Calcule e simplifique os resultados,quando for possível.

A)1/2 + 2/3 B)5/6 + 2/3 C)4/5 + 2/3 D)9/2 +7/4 + 2/3 E)2/5 + 1/10 + 1/2 F)2/7 + 1/10 + 3/2


(Com explicação porfavor)

Answer 1

Resolve fazendo MMC:

A)

$\frac{1}{2} + \frac{2}{3} = \frac{(3 \times 1) + (2 \times 2)}{(2 \times 3) } = \frac{7}{6}$

B)

$\frac{5}{6} + \frac{2}{3} = \frac{(3 \times 5) + (6 \times 2)}{(3 \times 6)} = \frac{27}{18 } = \frac{3}{2}$

*simplifica por 9

C)

$\frac{4}{5} + \frac{2}{3} = \frac{22}{15}$

D)

$\frac{9}{2} + \frac{7}{4} = \frac{50}{8} = \frac{25}{4}$

*simplifica por 2

E)

$\frac{2}{5} + \frac{1}{10} + \frac{1}{2} = \frac{25}{50} + \frac{1}{2} = \frac{100}{100} = 1$

F)

$\frac{2}{7} + \frac{1}{10} + \frac{3}{2} = \frac{27}{70} + \frac{3}{2} = \frac{264}{140} = \frac{66}{35}$

*simplifica por 4

Answer 2

Resposta:

$A)\\ \\ \frac{1}{2}+\frac{2}{3}~~mmc=6~~~~\frac{3+4}{6}=\frac{7}{6}\\ \\ B)\\ \\\frac{5}{6}+\frac{2}{3}~~mmc=6~~~~\frac{5+4}{6}=\frac{9}{6}=\frac{3}{2}\\ \\ C)\\ \\\frac{4}{5}+\frac{2}{3}~~mmc=15~~~~\frac{12+10}{15}=\frac{22}{15} \\ \\ D)\\ \\\frac{9}{2}+\frac{7}{4}+\frac{2}{3} ~~mmc=12~~~~\frac{36+21+8}{12}=\frac{65}{12}\\ \\ E)\\ \\\frac{2}{5}+\frac{1}{10}+\frac{1}{2}~~mmc=10~~~~\frac{4+1+5}{10}=\frac{10}{10} =\frac{1}{1}=1$

$F)\\ \\ \frac{2}{7} +\frac{1}{10} +\frac{3}{2} ~~mmc=70~~~~\frac{20+7+105}{70}=\frac{132}{70}=\frac{66}{35}$