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\(\dfrac{5}{3}+\dfrac{5}{12}+\dfrac{5}{20}+\dfrac{5}{30}+...+\dfrac{5}{9900}=\dfrac{5}{3}+5\left(\dfrac{1}{3.4}+\dfrac{1}{4.5}+...+\dfrac{1}{99.100}\right)=\dfrac{5}{3}+5\left(\dfrac{1}{3}-\dfrac{1}{4}+\dfrac{1}{4}-\dfrac{1}{5}+...+\dfrac{1}{99}-\dfrac{1}{100}\right)=\dfrac{5}{3}+5\left(\dfrac{1}{3}-\dfrac{1}{100}\right)=3\dfrac{23}{60}\).
\(\frac{5}{6}+\frac{5}{12}+\frac{5}{20}+......+\frac{5}{110}\)
\(=\frac{5}{2.3}+\frac{5}{3.4}+\frac{5}{4.5}+..........+\frac{5}{10.11}\)
\(=5\left(\frac{1}{2.3}+\frac{1}{3.4}+\frac{1}{4.5}+..........+\frac{1}{10.11}\right)\)
\(=5\left(\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+...........+\frac{1}{10}-\frac{1}{11}\right)\)
\(=5\left(\frac{1}{2}-\frac{1}{11}\right)\)
\(=5.\frac{9}{22}=\frac{45}{22}\)
30 + 12 + ( - 20 ) + ( - 12 )
= 30 + 12 - 20 - 12
= 42 - 20 - 12
= 22 - 12
= 10
A = 1/2 + 1/6 + 1/12 + 1/20 + 1/30 + 1/42 + 1/56
A = 1/1.2 + 1/2.3 + 1/3.4 + 1/4.5 + 1/5.6 + 1/6.7 + 1/7.8
A = 1/1 - 1/2 + 1/2 - 1/3 + 1/3 - 1/4 + 1/4 - 1/5 + 1/5 - 1/6 + 1/6 - 1/7 + 1/7 - 1/8
A = 1 + ( -1/2 + 1/2 ) + ( -1/3 + 1/3 ) + ( -1/4 + 1/4 ) + ( -1/5 + 1/5 ) + ( -1/6 + 1/6 ) + ( -1/7 + 1/7 ) - 1/8
A = 1 + 0 + 0 + 0 + 0 + 0 + 0 - 1/8
A = 1 - 1/8
A = 7/8
* Sửa đề tí nhé
B = 3/2 - 5/6 + 7/12 - 9/20 + 11/30 - 13/42 + 15/56
B = 3/1.2 - 5/2.3 + 7/3.4 - 9/4.5 + 11/5.6 - 13/6.7 + 15/7.8
B = 3 - 3/2 - 5/2 - ( -5/3 ) + 7/3 - 7/4 - 9/4 - ( -9/5 ) + 11/5 - 11/6 - 13/6 - ( -13/7 ) + 15/7 - 15/8
B = 3 - 3/2 - 5/2 + 5/3 + 7/3 - 7/4 - 9/4 + 9/5 + 11/5 - 11/6 - 13/6 + 13/7 + 15/7 - 15/8
B = 3 + ( -3/2 - 5/2 ) + ( 5/3 + 7/3 ) + ( -7/4 - 9/4 ) + ( 9/5 + 11/5 ) + ( -11/6 - 13/6 ) + ( 13/7 + 15/7 ) - 15/8
B = 3 + -4 + 4 + -4 + 4 + -4 + 4 - 15/8
B = 3 + 0 + 0 + 0 - 15/8
B = 3 - 15/8
B = 9/8
\(20-\left[30-\left(5-1^2\right)\right]\)
\(=20-\left[30-\left(5-1\right)\right]\)
\(=20-\left(30-4\right)\)
\(=20-26\)
\(=-6\)
\(20-\left[30-\left(5-1^2\right)\right]\\ =20-\left[30-\left(5-1\right)\right]\\ =20-\left[30-4\right]\\ =20-26\\ =-6.\)