Question

calcule a adiçao e a subtraçao de fraçoes, e simplifique os resultados quando for possivel
a) 1/8 + 5/6
b)4/5 - 2/7
c)2/7 + 1/10 + 3/2
d)7/15 + 3/15 + 1/10

Answer 1

Resposta:

a)

$\frac{1}{8} + \frac{5}{6} \\ \\ 8 = 2.2.2\\6 = 2.3 \\ mmc = 8 \times 3 = 24 \\ \\ \frac{1.3}{24} + \frac{5.4}{24} = \frac{3 + 20}{24} = \frac{23}{24}$

b)

$\frac{4}{5} - \frac{2}{7} = \frac{18}{35} \\ \\ \frac{4.7}{35} - \frac{2.5}{35} = \frac{28 - 10}{35} = \frac{18}{35}$

c)

$\frac{2}{7} + \frac{1}{10} + \frac{3}{2} = 1 \frac{31}{35} \\ \\ (1) = \frac{2}{7} + \frac{1}{10} = \frac{27}{7 0} \\ \\ \frac{2.10}{70} + \frac{1.7}{70} = \frac{20 + 7}{70} = \frac{27}{70} \\ \\ (2) = \frac{27}{70} + \frac{3}{2} = 1 \frac{31}{35} \\ \\ \frac{3}{2} = 1 \frac{1}{2} \\ \\ \frac{27}{70} + 1 \frac{1}{2} = \frac{27.1}{70} + 1 \frac{1.35}{70} = 1 \frac{27 + 35}{70} = 1 \frac{1}{62} = 1 \frac{31}{35} \\ \\ 1 \frac{62}{70} = 1 \frac{2.31}{2.5.7} = 1 \frac{31}{35}$

d)

$\frac{7}{15} + \frac{3}{15} + \frac{1}{10} = \frac{23}{30} \\ \\ (1) = \frac{7}{15} + \frac{3}{15} = \frac{2}{3} \\ \\ \frac{3}{15} = \frac{3}{3.5} = \frac{1}{5} \\ \\ \frac{7}{15} + \frac{7.1}{15} + \frac{1.3}{15} = \frac{7 + 3}{15} = \frac{10}{15} = \frac{2}{3} \\ \\ \frac{10}{15} = \frac{2.5}{3.5} = \frac{2}{3} \\ \\ (2) = \frac{2}{3} + \frac{1}{10} = \frac{23}{30} \\ \\ \frac{2.10}{30} + \frac{1.3}{30} = \frac{20 + 3}{30} = \frac{23}{30}$

Explicação passo-a-passo:

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