18/117×12/113+12/113×8/117+26/117+101/113 giúp mình ạ!
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Tính nhanh111/112×112/113×113/114×114/115×115/116×116/117 m.n giải nhanh giúp e với ạ. Ths m.n nhiều
111/112x112/113x113/114x114/115x116/117=111/117 nha
vì 112 rút gọn 112 ,113 cũng như thế đến 116 song chỉ còn 111 và 117
nha bạn
Đề ???
\(A=\frac{1003+1007+\frac{2010}{113}+\frac{2010}{117}-\frac{1003}{119}-\frac{1007}{119}}{1003+1008+\frac{2011}{113}+\frac{2011}{117}-\frac{1003}{119}-\frac{1008}{119}}\)
\(=\frac{2010+\frac{2010}{113}+\frac{2010}{117}-\frac{2010}{119}}{2011+\frac{2011}{113}+\frac{2011}{117}-\frac{2011}{119}}\)
\(=\frac{2010.\left(1+\frac{1}{113}+\frac{1}{117}-\frac{1}{119}\right)}{2011.\left(1+\frac{1}{113}+\frac{1}{117}-\frac{1}{119}\right)}\)
\(=\frac{2010}{2011}\)
\(A=\frac{1003+1007+\frac{2010}{113}+\frac{2010}{117}-\frac{100}{119}-\frac{1007}{119}}{1003+1008+\frac{2011}{113}+\frac{2011}{117}-\frac{1003}{119}-\frac{1008}{119}}\)
\(A=\frac{1003+1008+\frac{2011}{113}+\frac{2011}{117}-\frac{1003}{119}-\frac{1008}{119}}{1003+1008+\frac{2011}{113}+\frac{2011}{117}-\frac{1003}{119}-\frac{1008}{119}}\)+ \(\frac{1+\frac{1}{113}+\frac{1}{117}-\frac{903}{119}-\frac{1}{119}}{1003+1008+\frac{2011}{113}+\frac{2011}{117}-\frac{1003}{119}-\frac{1008}{119}}\)
\(A=1+\frac{1+\frac{1}{113}+\frac{1}{117}-\frac{904}{119}}{2011+\frac{2011}{113}+\frac{2011}{117}-\frac{2011}{119}}\)
\(A=\frac{1+\frac{1}{113}+\frac{1}{117}-\frac{1}{119}-\frac{90.}{119}}{2011+2011.\left(\frac{1}{113}+\frac{1}{117}-\frac{1}{119}\right)}\)
\(A=\frac{\frac{90}{119}}{2010+2011}\)
\(A=\frac{\frac{90}{119}}{4021}\)
a, = 113 x (54+45+1) = 113 x 100 = 11300
b, = (36+62) x (117-17) = 98 x 100 = 9800
k mk nha
$\frac{18}{117}\times\frac{12}{113}+\frac{12}{113}\times\frac{8}{117}+\frac{26}{117}+\frac{101}{113}$
$=\frac{12}{113}\times\left(\frac{18}{117}+\frac{8}{117}\right)+\frac{26}{117}+\frac{101}{113}$
$=\frac{12}{113}\times\frac{26}{117}+\frac{26}{117}+\frac{101}{113}$
$=\frac{26}{117}\times\left(\frac{12}{113}+1\right)+\frac{101}{113}$
$=\frac{26}{117}\times \frac{125}{113}+\frac{101}{113}$
$=\frac{250}{1017}+\frac{101}{113}=\frac{1159}{1017}$
\(\dfrac{18}{117}\times\dfrac{12}{113}+\dfrac{12}{113}\times\dfrac{8}{177}+\dfrac{26}{117}\times\dfrac{101}{113}\)
\(=\left(\dfrac{18}{177}+\dfrac{8}{177}\right)\times\dfrac{12}{113}+\dfrac{26}{117}\times\dfrac{101}{113}\)
\(=\dfrac{26}{177}\times\dfrac{12}{113}+\dfrac{26}{117}\times\dfrac{101}{113}\)
\(=\dfrac{26}{177}\times\left(\dfrac{12}{113}+\dfrac{101}{113}\right)\)
\(=\dfrac{26}{177}\times1\)
\(=\dfrac{26}{117}\)