Bai 1: tính nhanh
A) -5/9 + 3/5 - 3/9 + -2/5
B) -5/13 + (3/5 + 3/1 - 4/10)
C) 5/17 - 9/15 - 2/-17 + -2/15
D) (1/9 - 9/17) + 3/6 - ( 12/17 - 1/2) + -1/9
Bài 5: tính tổng
A) 1/3 + -1/4 + 1/5 + 1/-6 + -1/-7 + 1/6 + -1/5 + 1/4 + 1/3
B) 1/12 +1/2.3+1/3.4+..+1/99100
Giúp mình nhé
nhanh nhất có thể
Thank you nhiều
bài 1.
A) \(\dfrac{-5}{9}+\dfrac{3}{5}-\dfrac{3}{9}+\dfrac{-2}{5}=\left(\dfrac{-5}{9}-\dfrac{3}{9}\right)+\left(\dfrac{3}{5}+\dfrac{-2}{5}\right)=\dfrac{-8}{9}+\dfrac{1}{5}=-\dfrac{31}{45}\)
B)\(-\dfrac{5}{13}+\left(\dfrac{3}{5}+\dfrac{3}{1}-\dfrac{4}{10}\right)=-\dfrac{5}{13}+3+\left(\dfrac{3}{5}-\dfrac{4}{10}\right)=-\dfrac{5+3.13}{13}+\dfrac{1}{5}=-\dfrac{207}{65}\)C)\(\dfrac{5}{17}-\dfrac{9}{15}-\dfrac{2}{-17}+\dfrac{-3}{15}=\left(\dfrac{5}{17}+\dfrac{2}{17}\right)+\left(\dfrac{-9}{15}+\dfrac{-3}{15}\right)=\dfrac{7}{17}-\dfrac{12}{15}=-\dfrac{33}{85}\)D)\(\left(\dfrac{1}{9}-\dfrac{9}{17}\right)+\dfrac{3}{6}-\left(\dfrac{12}{17}-\dfrac{1}{2}\right)+\dfrac{-1}{9}=\left(\dfrac{1}{9}+\dfrac{-1}{9}\right)+\left(\dfrac{3}{6}+\dfrac{1}{2}\right)-\dfrac{12}{17}=1-\dfrac{12}{17}=\dfrac{5}{17}\)
bài 5:
A)\(\dfrac{1}{3}+\dfrac{-1}{4}+\dfrac{1}{5}+\dfrac{1}{-6}+\dfrac{-1}{-7}+\dfrac{1}{6}+\dfrac{-1}{5}+\dfrac{1}{4}+\dfrac{1}{3}\\ =\dfrac{1}{3}+\dfrac{1}{3}+\dfrac{-1}{4}+\dfrac{1}{4}+\dfrac{1}{5}+\dfrac{-1}{5}+\dfrac{1}{6}+\dfrac{1}{-6}+\dfrac{1}{7}\\ =\dfrac{2}{3}+\dfrac{1}{7}=\dfrac{17}{21}\)
B)\(\dfrac{1}{1.2}+\dfrac{1}{2.3}+\dfrac{1}{3.4}+...+\dfrac{1}{98.99}+\dfrac{1}{99.100}\\ =\dfrac{1}{1}-\dfrac{1}{2}+\dfrac{1}{2}-\dfrac{1}{3}+\dfrac{1}{3}-\dfrac{1}{4}+...+\dfrac{1}{98}-\dfrac{1}{99}+\dfrac{1}{99}-\dfrac{1}{100}\\ =1-\dfrac{1}{100}=\dfrac{99}{100}\)
