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A,-3/-7+5/19+-4/7
=(-3/-7+-4/7)+5/19
=-1/7+5/19=16/133
B,-13/24+-5/24+7/21
=-3/4+7/21=-5/12
C,-5/13+(-8/13+1)
=(-5/13+-8/13)+1
=-1+1=0
D,2/3+(3/8+-2/3)
=(2/3+-2/3)+3/8
=0+3/8=3/8
E,(-3/4+5/8)+-1/8
=-1/8+1/8=0
Ta có: \(A=\frac{13}{25}+\frac{9}{10}-\frac{11}{15}+\frac{13}{21}-\frac{15}{28}+\frac{17}{36}-\cdots+\frac{197}{4851}-\frac{199}{4950}\)
\(=\frac{13}{25}+2\left(\frac{9}{20}-\frac{11}{30}+\frac{13}{42}-\frac{15}{56}+\cdots+\frac{197}{98\cdot99}-\frac{199}{99\cdot100}\right)\)
\(=\frac{13}{25}+2\left(\frac14+\frac15-\frac15-\frac16+\cdots-\frac{1}{99}-\frac{1}{100}\right)\)
\(=\frac{13}{25}+2\left(\frac14-\frac{1}{100}\right)=\frac{13}{25}+2\cdot\frac{25-1}{100}=\frac{13}{25}+2\cdot\frac{24}{100}=\frac{13}{25}+\frac{48}{100}=1\)
=>A>9/10
\( S = 1-1/5 +1/5-1/9+1/9-1/13+1/13-1/17+1/17-1/21+1/21-1/25+1/25-1/29. \)
\(S= 1- 1/29 \)
\(S=\frac{28}{29}\)
Nếu mình ko nhầm!
\(\frac{5+\frac{5}{13}+\frac{5}{19}}{6+\frac{6}{13}+\frac{6}{19}}\)
\(=\frac{5\left(1+\frac{1}{13}+\frac{1}{19}\right)}{6\left(1+\frac{1}{13}+\frac{1}{19}\right)}\)
\(\frac{5}{6}\)
Giải
Ta có: \(\frac{5+\frac{5}{13}+\frac{5}{19}}{6+\frac{6}{13}+\frac{6}{19}}\)
= \(\frac{5.\left(1+\frac{1}{13}+\frac{1}{19}\right)}{6.\left(1+\frac{1}{13}+\frac{1}{19}\right)}\)
= \(\frac{5}{6}\)
Duyệt đi, chúc bạn học giỏi!
-13 + 19 - 21 + 13
=6 - 34
=-28
Ok
-13 + 19 – 21 + 13
=(-13+13)+(19-21)
=0+(-2)
=-2
TL: -28