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( 198 : 18 - 143 : 13 ) x ( 16996 - 1110 : 30 x 305 )
= ( 11 - 11 ) x ( 16996 - 1110 : 30 x 305 )
= 0 x ( 16996 - 1110 : 30 x 305 )
= 0
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[1998: 18 - 1443 : 13 ] nhân [16996 - 1110 ; 30 nhân 305 ] = 0
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A) \(\frac{131313}{151515}+\frac{131313}{353535}+\frac{131313}{636363}+\frac{131313}{999999}\)
\(=\frac{10101\times13}{10101\times15}+\frac{10101\times13}{10101\times35}+\frac{10101\times13}{10101\times63}+\frac{10101\times13}{10101\times99}\)
\(=\frac{13}{15}+\frac{13}{35}+\frac{13}{63}+\frac{13}{99}\)
\(=13\times\left(\frac{1}{15}+\frac{1}{35}+\frac{1}{63}+\frac{1}{99}\right)\)
\(=13\times\frac{4}{33}=\frac{52}{33}\)
B) \(\left(1998:18-1443:13\right)\times\left(16996-1110:30\times305\right)\)
\(=\left(111-111\right)\times\left(16996-1110:30\times305\right)\)
\(=0\times\left(16996-1110:30\times305\right)\)
\(=0\)
( TẤT CẢ MỌI SỐ NHÂN VỚI 0 ĐỀU BẰNG 0)
C) \(\left(\frac{575757}{424242}+\frac{575757}{565656}+\frac{575757}{727272}\right)\times18\)
\(=\left(\frac{10101\times57}{10101\times42}+\frac{10101\times57}{10101\times56}+\frac{10101\times57}{10101\times72}\right)\times8\)
\(=\left(\frac{57}{42}+\frac{57}{56}+\frac{57}{72}\right)\times8\)
\(=\left(\frac{1}{42}+\frac{1}{56}+\frac{1}{72}\right)\times57\times8\)
\(=\frac{1}{169344}\times57\times8\)
\(=\frac{19}{7056}\)
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a, = 13/15 + 13/35 + 13/63 + 13/99
= 13.( 1/15 + 1/35 + 1/63 + 1/99 )
= 13.( 1/ 3.5 + 1/5.7 + 1/7.9 + 1/ 9.11)
= 13 . ( 1/3 - 1/5 +1/5 - 1/7 + 1/7 - 1/9 + 1/9 - 1/11)
= 13 . ( 1/3 - 1/11)
= 13 . 3/11 = 39/11
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\(\left(a\right)37064-64\left(82+\frac{42966}{217}\right)\)
\(=37064-64\left(82+198\right)\)
\(=37064-64\cdot280\)
\(=30764-17920=19144\)
\(\left(b\right)320-\left(120,5+95,25+5,25\right)+\frac{84}{12}\cdot12,5\)
\(=320-\left(120,5+100,5\right)+7\cdot12,5\)
\(=320-221+87,5=11,5\)
\(\left(c\right)\left(4\frac{2}{5}+2\frac{3}{7}\right)-\left(2\frac{2}{5}-5\frac{4}{7}\right)\)
\(=4\frac{2}{5}-2\frac{2}{5}+2\frac{3}{7}+5\frac{4}{7}\)
\(=2+8=10\)
\(\left(d\right)\left(\frac{1998}{18}-\frac{1443}{13}\right)\left(16996-\frac{1110}{30}\cdot305\right)\)
\(=\left(111-111\right)\left(16996-\frac{1110}{30}\cdot305\right)\)
\(=0\left(16996-\frac{1110}{30}\cdot305\right)=0\)
\(\left(e\right)5\frac{3}{5}+1,75+6\frac{1}{8}+4\frac{1}{4}+3,875+3,4\)
\(=5\frac{3}{5}+1\frac{3}{4}+6\frac{1}{8}+4\frac{1}{4}+3\frac{7}{8}+3\frac{2}{5}\)
\(=5\frac{3}{5}+3\frac{2}{5}+1\frac{3}{4}+4\frac{1}{4}+6\frac{1}{8}+3\frac{7}{8}\)
\(=9+6+10=25\)
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a,
\(2-4+6-8+...+1998-2000\)( có 1000 số )
\(=\left(2-4\right)+\left(6-8\right)+.....+\left(1998-2000\right)\)( có 500 nhóm )
\(=\left(-2\right)+\left(-2\right)+....+\left(-2\right)\)( có 500 số -2 )
\(=-2.500\)
\(=-1000\)
b.
\(\text{11-12+13-14+15-16+17-18+19-20}\)( có 10 số hạng )
\(=\left(11-12\right)+\left(13-14\right)+...+\left(19-20\right)\)( có 5 nhóm )
\(=-1+\left(-1\right)+....+\left(-1\right)\)
\(=-1.5\)
\(=-5\)
c,
\(\text{101-102-(-103)-104-(-105)-106-(-107)-108-(-109)-110}\)
\(=101-102+103-104+....+109-110\)( có 10 số )
\(=-1+\left(-1\right)+...+\left(-1\right)\)( có 5 nhóm )
\(=-1.5\)
\(=-5\)
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a) 4 1 5 + 3 2 5 = 21 5 + 17 5 = 38 5
b) 1 2 − 1 8 − 1 16 = 8 16 − 2 16 − 1 16 = 5 16
c) 426 × 305 = 129930
d) 72306 : 351 = 206
Lời giải:
$=(111-\frac{1743}{13})\times (16996-11285)$
$=\frac{-300}{13}\times 5711=\frac{-1713300}{13}$