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Mình nghĩ đề thế này mới tính hợp lí được
2 ) B = \(1\frac{6}{41}.\left(\frac{12+\frac{12}{19}-\frac{12}{37}-\frac{12}{53}}{3+\frac{3}{19}-\frac{3}{37}-\frac{3}{53}}:\frac{4+\frac{4}{17}+\frac{4}{19}+\frac{4}{2006}}{5+\frac{5}{17}+\frac{5}{19}+\frac{5}{2006}}\right).\frac{124242423}{237373735}\)
B = 47/41 . ( 12/3 : 4/5 ) . 123/235
B = 47/41 . ( 4 : 4/5 ) . 123/235
B = 47/41 . 5 . 123/235
B = \(\frac{47.5.123}{41.235}\)
B = 3
1 ) A = \(\frac{636363.37-373737.63}{1+2+3+...+2006}\)
A = \(\frac{63.10101.37-37.10101.63}{1+2+3+...+2006}\)
A = \(\frac{0}{1+2+3+...+2006}\)
A = 0
y =2(\(\frac{37\cdot10101}{120\cdot10101}\)-\(\frac{37\cdot10101}{6\cdot10101}\)):\(\frac{1}{x}\)=-37
y=2(37/120-37/6):1/x=-37
y=2(37/120-740/120):1/x=-37
y=2.(-703/120):1/x=-37
y=--703/60:1/x=-37
1/x=-703/60:-37
1/x=19/60
x=60/19
A=63*10101*37-37*10101*63
(2006-1):1+1:2*(2006+1)
A=67*37-37*63
2013021
A=0
\(-66\cdot\left[\frac{1}{2}-\frac{1}{3}+\frac{1}{11}\right]+124\cdot\left[-37\right]+63\cdot\left[-1+24\right]\)
\(=-66\cdot\left[\frac{1}{6}+\frac{1}{11}\right]+\left[-4588\right]+63\cdot23\)
\(=-66\cdot\frac{17}{66}+\left[-4588\right]+1449\)
\(=-17+\left[-4588\right]+1449=-4605+1449=-3156\)
Các bạn ủng hộ cho mình nhé
Đề bài của bạn là: \(\frac{37^{38}+5}{37^{39+5}}\)hay\(\frac{37^{38}+5}{37^{39}+5}\)
\(A=2014.\left(1+\frac{1}{1+2}+\frac{1}{1+2+3}+...+\frac{1}{1+2+3+...+2013}\right)\)
\(A=2014.\left(1+\frac{1}{3}+\frac{1}{6}+...+\frac{1}{1007.2013}\right)\)
\(A=2.2014.\left(\frac{1}{2}+\frac{1}{6}+\frac{1}{12}+...+\frac{1}{2013.2014}\right)\)
\(A=2.2014.\left(\frac{1}{1.2}+\frac{1}{2.3}+\frac{1}{3.4}+...+\frac{1}{2013.2014}\right)\)
\(A=2.2014.\left(1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+...+\frac{1}{2013}-\frac{1}{2014}\right)\)
\(A=2.2014.\left(1-\frac{1}{2014}\right)\)
\(A=2.2014.\frac{2013}{2014}\)
\(A=\frac{2.2014.2013}{2014}\)
\(A=2.2013\)
\(A=4026\)
Bài làm:
Ta có:
\(B=-66\cdot\left(\frac{1}{2}-\frac{1}{3}+\frac{1}{11}\right)+124.\left(-37\right)+63.\left(-124\right)\)
\(B=\left(-66\right).\frac{1}{2}+66.\frac{1}{3}-66.\frac{1}{11}-124.\left(37+63\right)\)
\(B=-33+22-6-124.100\)
\(B=17-12400\)
\(B=-12383\)
\(B=-66.\left(\frac{1}{2}-\frac{1}{3}+\frac{1}{11}\right)+124.\left(-37\right)+63.\left(-124\right)\)
\(=-66.\frac{1}{2}-\left(-66\right).\frac{1}{3}+\left(-66\right).\frac{1}{11}+\left(-124\right).37+63.\left(-124\right)\)
\(=-33+22-6+\left(-124\right).\left(37+63\right)\)
\(=-11-6+\left(-124\right).100\)
\(=-17-12400\)
\(=-12417\)
A=\(\frac{63x101x37-37x101x63}{1+2+3+..+2014}\)(vì 636363=63x10101 và 373737=37x101x63)
A\(\frac{0}{1+2+3+4...+2014}\)
A=0
\(A=\frac{636363\times37-373737\times63}{1+2+3+....+2014}\)
\(A=\frac{63\times10101\times37-373737\times63}{1+2+3+......+2014}\)
\(A=\frac{373737\times63-373737\times63}{1+2+3+.....+2014}\)
\(A=\frac{0}{1+2+3+.....+2014}\)
\(A=0\)
HOK TOT