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27 x \(\left(\frac{171717}{272727}+\frac{373737}{363636}\right)\)
= 27 x \(\left(\frac{17}{27}+\frac{37}{36}\right)\)
= 27 x \(\frac{17}{27}\)+ 27 x \(\frac{37}{36}\)
= 17 + 27,75
= 44,75
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
= \(\left(\frac{57}{42}+\frac{57}{56}+\frac{57}{72}\right)x18\)
= \(\frac{57}{42}x18+\frac{57}{56}x18+\frac{57}{72}x18\)
=\(\frac{57}{7}x3+\frac{57}{28}x9+\frac{57}{4}\)
= \(\frac{57x12}{28}+\frac{57x9}{28}+\frac{57x7}{28}\)
=\(\frac{57x\left(12+9+7\right)}{28}\)
\(=\frac{57x28}{28}\)
=57
Tớ mới học được kết quả đấy có thể các cần bài này
\(\frac{191919}{373737}=\frac{191919:10101}{373737:10101}=\frac{19}{37}\)
\(B=70.\left(\frac{131313}{565656}+\frac{131313}{727272}+\frac{131313}{909090}\right)\)
\(B=70.\left(\frac{13}{56}+\frac{13}{72}+\frac{13}{90}\right)\)
\(B=70.13.\left(\frac{1}{56}+\frac{1}{72}+\frac{1}{90}\right)\)
\(B=910.\left(\frac{1}{7.8}+\frac{1}{8.9}+\frac{1}{9.10}\right)\)
\(B=910.\left(\frac{1}{7}-\frac{1}{8}+\frac{1}{8}-\frac{1}{9}+\frac{1}{9}-\frac{1}{10}\right)\)
\(B=910.\left[\frac{1}{7}+\left(\frac{1}{8}-\frac{1}{8}\right)+\left(\frac{1}{9}-\frac{1}{9}\right)-\frac{1}{10}\right]\)
\(B=910.\left[\frac{1}{7}-\frac{1}{10}\right]\)
\(B=910.\frac{3}{70}=39\)
~ Hok tốt ~
\(=18\times\left(\frac{37\times10101}{42\times10101}+\frac{37\times10101}{56\times10101}+\frac{37\times10101}{72\times10101}\right)\)
\(=18\times\left(\frac{37}{42}+\frac{37}{56}+\frac{37}{72}\right)\)
\(=666\left(\frac{1}{42}+\frac{1}{56}+\frac{1}{72}\right)\)
\(=666\times\left(\frac{1}{6}-\frac{1}{7}+\frac{1}{7}-\frac{1}{8}+\frac{1}{8}-\frac{1}{9}\right)\)
\(=666\times\left(\frac{1}{6}-\frac{1}{9}\right)\)
\(=666\times\frac{1}{18}=37\)
\(18\times\left(\frac{373737}{424242}+\frac{373737}{565656}+\frac{373737}{727272}\right)\)
\(=18\times\left(\frac{37}{42}+\frac{37}{56}+\frac{37}{72}\right)\)
\(=18\times\frac{37}{18}\)
\(=37\)
37/42+37/56+37/72 = 37(1/42+1/56+1/72)=37( 1/6.7 + 1/7.8 + 1/8.9 )= 37( 1/6 - 1/7 + 1/7 - 1/8 + 1/8 - 1/9)= 37( 1/6 - 1/9)= 37.1/18=37/18
B = 37/42 + 37/56 + 37/72
B = 37/18