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Tính các tổng dưới đây sau khi đã rút gọn phân số :
a)\(\dfrac{7}{21}\) + \(\dfrac{9}{-36}\) = \(\dfrac{7}{21}\)+\(\dfrac{-9}{36}\)=\(\dfrac{1}{3}\)+\(\dfrac{-1}{4}\)=\(\dfrac{4}{12}\)+\(\dfrac{-3}{12}\)=\(\dfrac{1}{12}\)
b) \(\dfrac{-12}{18}\)+\(\dfrac{-21}{35}\)=\(\dfrac{-2}{3}\)+\(\dfrac{-3}{5}\)=\(\dfrac{-10}{15}\)+\(\dfrac{-9}{15}\)=\(\dfrac{-19}{15}\)
c) \(\dfrac{-3}{21}\)+\(\dfrac{6}{42}\)=\(\dfrac{-1}{7}\)+\(\dfrac{1}{7}\)=0
d) \(\dfrac{-18}{24}\)+\(\dfrac{15}{-21}\)=\(\dfrac{-18}{24}\)+\(\dfrac{-15}{21}\)=\(\dfrac{-3}{4}\)+\(\dfrac{-5}{7}\)=\(\dfrac{-21}{28}\)+\(\dfrac{-20}{28}\)=\(\dfrac{-41}{28}\)

Lời giải:
a)
$\frac{2}{12}+\frac{7}{-42}=\frac{1}{6}+\frac{-1}{6}=0$
b)
$\frac{24}{40}+\frac{-14}{35}=\frac{3}{5}+\frac{-2}{5}=\frac{1}{5}$
c)
$\frac{-14}{49}+\frac{12}{30}=\frac{-2}{7}+\frac{2}{5}=\frac{4}{35}$
d)
$\frac{6}{-21}+\frac{-9}{36}=\frac{-2}{7}+\frac{-1}{4}=\frac{-15}{28}$

a)\(\dfrac{-3}{29}+\dfrac{16}{58}\)\(=\dfrac{-3}{29}+\dfrac{8}{29}=\dfrac{5}{29}\)
b) \(\dfrac{8}{40}+\dfrac{-36}{45}=\dfrac{1}{5}+\dfrac{-4}{5}=\dfrac{-3}{5}\)
c) \(\dfrac{-8}{18}+\dfrac{-15}{27}=\dfrac{-4}{9}+\dfrac{-5}{9}=\dfrac{-9}{9}=-1\)
a) \(\dfrac{-3}{29}+\dfrac{16}{58}=\dfrac{-3}{29}+\dfrac{8}{29}=\dfrac{-3+8}{29}=\dfrac{5}{29}\)
b) \(\dfrac{8}{40}+\dfrac{-36}{45}=\dfrac{1}{5}+\dfrac{-4}{5}=\dfrac{1+\left(-4\right)}{5}=\dfrac{-3}{5}\)
c) \(\dfrac{-8}{18}+\dfrac{-15}{27}=\dfrac{-4}{9}+\dfrac{-5}{9}=\dfrac{-4+\left(-5\right)}{9}=\dfrac{-9}{9}=-1\)

a) 3784 + 23 – 3785 – 15
= 3784 - 3785 + 23 - 15
= -(3785 - 3784) + 8
= -1 + 8
= 8 - 1
= 7
b) 21 + 22 + 23 + 24 – 11 - 12 - 13 - 14
= (21 -11) + (22 - 12) + (23 - 13) + (24 - 14)
= 10 + 10 + 10 + 10
= 40
Sách Giáo Khoa
Bài giải:
a)
3784 + 23 - 3785 - 15 . Áp dụng tính chất giao hoán ta có:
= (3784 - 3785) + (23 - 15)
= -1 + 8
= 7
b) 21 + 22 + 23 + 24 - 11 - 12 - 13 - 14. Áp dụng các tính chất giao hoán và kết hợp ta có:
= (21 - 11) + (22 - 12) + (23 - 13) + (24 - 14).
= 10 + 10 + 10 + 10
= 40
Đáp số: a) 7; b) 40.

a. 7/21 + 9/-36 = 1/3 + (-1/4) = 4/12 + (-3/12) = 1/12
b. -12/18 + (-21/35) = -2/3 + (-3/5) = -10/15 + (-9/15) = -19/15
c. -3/21 + 6/42 = -1/7 + 1/7 = 0
d. -18/24 + 15/-21 = -3/4 + (-5/7) = -21/28 + (-20/28) = -41/28
a) 7 21 + 8 − 40 = 1 3 + − 1 5 = 5 15 + − 3 15 = 2 15
b) − 12 36 + − 24 40 = − 1 3 + − 3 5 = − 5 15 + − 9 15 = − 14 15