Tính bằng cách thuận tiện nhất:
a) 3/54 + 5/126 + 7/297 + 8/609
b) (1-1/2) + (1-1/6) + (1-1/12) + (1-1/20)
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\(E=1-2+3-4+5-6+7-8+...+99-100+101\)
\(E=\left(1-2\right)+\left(3-4\right)+\left(5-6\right)+\left(7-8\right)+...+\left(99-100\right)+101\)(Có 50 cặp)
\(E=\left(-1\right)+\left(-1\right)+\left(-1\right)+\left(-1\right)+...+\left(-1\right)+101\)(Có 50 số -1)
\(E=\left(-1\right).50+101\)
\(E=\left(-50\right)+101\)
\(E=51\)
hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh
Câu cuối:
= 3 / 5 + 2 / 5 + ( 3 / 4 + 5 / 8 + 1 / 2 )
= 1 + ( 6 + 5 + 4 / 8 )
= 1 + 15 / 8
= 23 / 8 = \(2\frac{7}{8}\)
a) \(\frac{2}{3}+\frac{3}{4}+\frac{4}{5}+\frac{1}{3}+\frac{1}{4}+\frac{1}{5}\)
= \(\left(\frac{2}{3}+\frac{1}{3}\right)+\left(\frac{3}{4}+\frac{1}{4}\right)+\left(\frac{4}{5}+\frac{1}{5}\right)\)
= \(\frac{3}{3}+\frac{4}{4}+\frac{5}{5}\)
= \(1+1+1\)
= \(3\)
b) \(\frac{1}{3}+\frac{1}{4}+\frac{1}{5}+\frac{4}{6}+\frac{9}{12}+\frac{16}{20}\)
= \(\left(\frac{1}{3}+\frac{4}{6}\right)+\left(\frac{1}{4}+\frac{9}{12}\right)+\left(\frac{1}{5}+\frac{16}{20}\right)\)
= \(\left(\frac{1}{3}+\frac{2}{3}\right)+\left(\frac{1}{4}+\frac{3}{4}\right)+\left(\frac{1}{5}+\frac{4}{5}\right)\)
= \(\frac{3}{3}+\frac{4}{4}+\frac{5}{5}\)
= \(1+1+1\)
= \(3\)
ko sai được... đúng 100%
a)2/3+3/4+4/5+1/3+1/4+1/5
= ( 2/3 + 1/3 ) + ( 3/4 + 1/4 ) + ( 4/5 + 1/5 )
= 1 + 1 + 1 = 3
b) 1/3 + 1/4 + 1/5 + 4/6 + 9/12 + 16/20
= 1/3 + 1/4 + 1/5 + 2/3 + 3/4 4/5
= ( 1/3 + 2/3 ) + ( 1/4 + 3/4 ) + ( 1/5 + 4/5 )
= 1 + 1 + 1 = 3
\(999+998+1+2\)
\(=\left(999+1\right)+\left(998+2\right)\)
\(=1000+1000\)
\(=2000\)
(Nhớ k cho mình với nhá!)
999 + 998 + 1 + 2
= ( 999 + 1 ) + ( 998 + 2 )
= 1000 + 1000
= 2000.
2.31.12+4.6.42+8.27.3=24.31+24.42+24.27=24.(31+42+27)=24.100=2400