tính nhanh : \(\left(\frac{575757}{424242}+\frac{575757}{565656}+\frac{575757}{727272}\right).18\)
\(\left(\frac{575757}{424242}+\frac{575757}{565656}+\frac{575757}{727272}\right)x18\)
= \(\left(\frac{57}{42}+\frac{57}{56}+\frac{57}{72}\right)x18\)
= \(\frac{57}{42}x18+\frac{57}{56}x18+\frac{57}{72}x18\)
=\(\frac{57}{7}x3+\frac{57}{28}x9+\frac{57}{4}\)
= \(\frac{57x12}{28}+\frac{57x9}{28}+\frac{57x7}{28}\)
=\(\frac{57x\left(12+9+7\right)}{28}\)
\(=\frac{57x28}{28}\)
=57
Tớ mới học được kết quả đấy có thể các cần bài này
Tính nhanh:
a, \(\frac{131313}{151515}+\frac{131313}{353535}+\frac{131313}{636363}+\frac{131313}{999999}\)
b, \(\left(1998:18-1443:13\right)x\left(16996-1110:30x305\right)\)
c, \(\left(\frac{575757}{424242}+\frac{575757}{565656}+\frac{575757}{727272}\right)x18\)
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) \(\left(\frac{575757}{424242}+\frac{575757}{565656}+\frac{575757}{727272}\right)\times18\)
\(=\left(\frac{10101\times57}{10101\times42}+\frac{10101\times57}{10101\times56}+\frac{10101\times57}{10101\times72}\right)\times8\)
\(=\left(\frac{57}{42}+\frac{57}{56}+\frac{57}{72}\right)\times8\)
\(=\left(\frac{1}{42}+\frac{1}{56}+\frac{1}{72}\right)\times57\times8\)
\(=\frac{1}{169344}\times57\times8\)
\(=\frac{19}{7056}\)
MK KO BIẾT TÌNH NHANH ĐÂU! MK CHỈ LÀM ĐC NHƯ VẬY THÔI!!!!
CHÚC BN HỌC TỐT!!!!!!
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
Kết quả của phép tính: (575757/424242 + 575757/565656 + 575757/727272) x 18 =
(575757/424242 + 575757/565656 + 575757/727272) x 18
= (57/42 + 57/56 + 57/72) x 18
= 57x3/7 + 57x9/28 + 57/4
= 1596/28
= 57
(575757/424242+575757/565656+575757/727272) x 18
rut gon
= (57/42+57/56+57/72)*18
=19/6*18
=57
(575757/424242 + 575757/565656+ 575757/727272)x 18
ta có:
575757/424242 = 57/42
575757/565656 = 57/56
575757/727272 = 57/72
suy ra:
(57/42 +57/56 +57/72)x 18 = 57
(575757 phần 424242 + 575757 phần 565656 + 575757 phần 727272 )× 18
\(\left(\frac{575757}{424242}+\frac{575757}{565656}+\frac{575757}{727272}\right)\cdot18\)
\(=\left(\frac{19}{14}+\frac{57}{56}+\frac{19}{24}\right)\cdot18\)
\(=\left(\frac{228+171+133}{168}\right)\cdot18\)
\(=\frac{532}{168}\cdot18\)
\(=\frac{19}{6}\cdot8\)
\(=\frac{76}{3}\)
\(\left(\frac{575757}{424242}+\frac{575757}{565656}+\frac{575757}{727272}\right)\cdot18=\left(\frac{57}{42}+\frac{57}{56}+\frac{57}{72}\right)\cdot18=\frac{57}{42}\cdot18+\frac{57}{56}\cdot18+\frac{57}{72}\cdot18=\frac{171}{7}+\frac{513}{28}+\frac{57}{4}=\frac{684}{28}+\frac{513}{28}+\frac{399}{28}=\frac{1596}{28}=57\)
[575757\424242+575757\565656+575757\727272}
\(\frac{575757}{424242}+\frac{575757}{565656}+\frac{575757}{727272}=\frac{57\times10101}{42\times10101}+\frac{57\times10101}{56\times10101}+\frac{57\times10101}{72\times10101}\)
\(=\frac{57}{42}+\frac{57}{56}+\frac{57}{72}=57\times\left(\frac{1}{42}+\frac{1}{56}+\frac{1}{72}\right)\)
\(=57\times\left(\frac{1}{6\times7}+\frac{1}{7\times8}+\frac{1}{8\times9}\right)\)
\(=57\times\left(\frac{7-6}{6\times7}+\frac{8-7}{7\times8}+\frac{9-8}{8\times9}\right)\)
\(=57\times\left(\frac{1}{6}-\frac{1}{7}+\frac{1}{7}-\frac{1}{8}+\frac{1}{8}-\frac{1}{9}\right)\)
\(=57\times\left(\frac{1}{6}-\frac{1}{9}\right)=\frac{19}{6}\)
Câu hỏi cuối cùng của mk trong ngày hôm nay:
Tính nhanh giá trị biểu thức:
A= (575757/424242 + 575757/565656 + 575757/727272) x 18
Bài giải :
\(\frac{575757}{424242}\)= \(\frac{57}{45}\)
\(\frac{575757}{565656}\)= \(\frac{57}{56}\)
\(\frac{575757}{727272}\)= \(\frac{57}{72}\)
\(=>\) ( \(\frac{57}{45}\)+ \(\frac{57}{56}\)\(\frac{57}{72}\) ) x \(18\)\(=\)\(57\)
Hk tốt
\(A=\left(\frac{575757}{424242}+\frac{575757}{565656}+\frac{575757}{727272}\right)\times18\)
\(=\left(\frac{57\times10101}{42\times10101}+\frac{57\times10101}{56\times10101}+\frac{57\times10101}{72\times10101}\right)\times18\)
\(=\left(\frac{57}{42}+\frac{57}{56}+\frac{57}{72}\right)\times18\)
\(=57\left(\frac{1}{42}+\frac{1}{56}+\frac{1}{72}\right)\times18\)
\(=\frac{57}{18}\times18=57\)
Tính giá trị biểu thức : { 575757/424242 + 575757/565656 + 575757/727272 } = ?
\(\frac{575757}{\text{424242}}\)+ \(\frac{575757}{565656}\) + \(\frac{575757}{727272}\) = \(\frac{19}{14}\)+ \(\frac{57}{56}\)+ \(\frac{19}{24}\)
= \(\frac{25536}{18816}\)+ \(\frac{15162}{18816}\)+ \(\frac{14896}{18816}\)
= \(\frac{40698}{18816}\)+ \(\frac{14896}{18816}\)
= \(\frac{55594}{18816}\)
= \(\frac{3971}{1344}\)