Question

a)\(\dfrac{2}{7}+\dfrac{-3}{8}+\dfrac{11}{7}+\dfrac{1}{7}_{ }+\dfrac{5}{-8}\)

b)\(\dfrac{3}{17}+\dfrac{-5}{13}+\dfrac{-18}{35}+\dfrac{14}{17}+\dfrac{17}{-35}_{ }+\dfrac{-8}{13}\)

c)\(\dfrac{-3}{8}+\dfrac{12}{25}+\dfrac{5}{-8}+\dfrac{2}{-5}+\dfrac{13}{25}\)

d)\(\dfrac{-5}{21}+\left(\dfrac{-16}{21}+1\right)\)

e)\(\dfrac{-3}{17}+\left(\dfrac{2}{3}+\dfrac{3}{17}\right)\)

f)\(\left(\dfrac{-1}{6}+\dfrac{5}{-12}\right)+\dfrac{7}{12}\)

Answer 1

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Answer 2

Câu a:

\(\frac27\) + \(\frac{-3}{8}\) + \(\frac{11}{7}\) + \(\frac17\) + \(\frac{5}{-8}\)

= (\(\frac27+\frac{11}{7}+\frac17\)) -(\(\frac38\) + \(\frac58\))

= (\(\frac{13}{7}+\frac17\)) - \(\frac88\)

= \(\frac{14}{7}-1\)

= 2 - 1

= 1

Answer 3

Câu b:

\(\frac{3}{17}+\frac{-5}{13}+\frac{-18}{35}+\frac{14}{17}+\frac{17}{-35}+\frac{-8}{13}\)

= (\(\frac{3}{17}+\frac{14}{17}\)) - (\(\frac{5}{13}\) + \(\frac{8}{13}\)) - (\(\frac{18}{35}+\frac{17}{35}\))

= \(\frac{17}{17}-\frac{18}{18}-\) \(\frac{35}{35}\)

= 1 - 1 - 1

= 0 - 1

= -1

Answer 4

Câu c:

\(\frac{-3}{8}\) + \(\frac{12}{25}\) + \(\frac{5}{-8}\) + \(\frac{2}{-5}\) + \(\frac{13}{25}\)

= -(\(\frac38+\frac58\)) + (\(\frac{12}{25}+\frac{13}{25})\) - \(\frac25\)

= - \(\frac88\) + \(\frac{25}{25}\) - \(\frac25\)

= - 1 + 1 - \(\frac25\)

= 0 - \(\frac25\)

= - \(\frac25\)

Answer 5

Câu d:

- \(\frac{5}{21}\) + ( \(\frac{-16}{21}\) + 1)

= -\(\frac{5}{21}\) - \(\frac{16}{21}\) + 1

= -(\(\frac{5}{21}+\frac{6}{21})\) + 1

= - 1 + 1

= 0

Answer 6

Câu e:

\(\frac{-3}{17}\) + (\(\frac23\) + \(\frac{3}{17}\))

= - \(\frac{3}{17}\) + \(\frac23\) + \(\frac{3}{17}\)

= (-\(\frac{3}{17}\) + \(\frac{3}{17}\)) + \(\frac23\)

= 0 + \(\frac23\)

= \(\frac23\)

Answer 7

Câu f:

(\(\frac{-1}{6}\) + \(\frac{5}{-12}\)) + \(\frac{7}{12}\)

= -(\(\frac{2}{12}+\frac{5}{12}\)) + \(\frac{7}{12}\)

= - \(\frac{7}{12}\) + \(\frac{7}{12}\)

= 0