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1/3xD=1/(2x4)+1/(4x6)+...+1/(98x100)
2/3xD=2/(2x4)+2/(4x6)+...+1/(98x100)
2/3xD= 1/2-1/4+1/4-1/6+...+1/98-1/100
2/3xD=1/2-1/100
2/3xD=49/100
D=147/200
= 14 : ( 14/3 - 14/9 ) + 14 : ( 2/3 + 8/9 )
= 14 : 28/9 + 14 : 14/9
= 14 * 9/28 + 14 * 9/14
= 14 * ( 9/28 + 9/14 )
= 14 * 27/28
= 27/2
Ta có:
A=\(14:\left(\frac{14}{3}-\frac{14}{5}\right)+14:\left(\frac{2}{3}+\frac{8}{9}\right)\)
\(=14:\left(\frac{14}{3}-\frac{14}{5}+\frac{2}{3}+\frac{8}{9}\right)\)
\(=14:\left(\frac{42+6+8}{3}-\frac{14}{5}\right)\)
\(=14:\left(\frac{56}{3}-\frac{14}{5}\right)\)
\(=14:\left(\frac{280-42}{15}\right)=14:\left(\frac{238}{15}\right)=14\cdot\frac{15}{238}=\frac{210}{238}\)
ko biết có tính sai chỗ nào ko
\(=\frac{4}{3}x\frac{9}{8}x\frac{16}{15}x\frac{25}{24}x...x\frac{100}{99}\)
\(=\frac{2x2x3x3x4x4x5x5x6x6x7x7x8x8x9x9x10x10}{1x3x2x4x3x5x4x6x5x7x6x8x7x9x8x10x9x11}=\frac{2x10}{11}=\frac{20}{11}\)
Lưu Hạ Băng
Ta có : \(1\frac{1}{3}x1\frac{1}{8}x1\frac{1}{15}x1\frac{1}{24}x...x1\frac{1}{99}\)
\(=\frac{4}{3}x\frac{9}{8}x\frac{16}{15}x\frac{25}{24}x...x\frac{100}{99}\)
\(=\frac{2x2}{1x3}x\frac{3x3}{2x4}x\frac{4x4}{3x5}x\frac{5x5}{4x6}x...x\frac{10x10}{9x11}\)
\(=\frac{2x2x3x3x4x4x5x5x...x10x10}{1x3x2x4x3x5x4x6x...x9x11}\)
\(=\frac{\left(2x3x4x5x...x10\right)x\left(2x3x4x5x...x10\right)}{\left(1x2x3x4x...x9\right)x\left(3x4x5x6x...x11\right)}\)
\(=\frac{10x2}{1x11}\)
\(=\frac{20}{11}\)
Chúc bn học tốt !!!
Kb vs mk heg =)) ^^
a) MC :24
\(\frac{1}{3}+\frac{3}{8}-\frac{7}{12}=\frac{1\times8+3\times3-7\times2}{24}=\frac{3}{24}=\frac{1}{8}\)
b)MC : 56
\(\frac{3}{14}+\frac{5}{8}-\frac{1}{2}=\frac{3\times4+5\times7-1\times28}{56}=\frac{19}{56}\)
c) MC: 36
\(\frac{1}{4}-\frac{2}{3}-\frac{11}{18}=\frac{1\times9-2\times12-11\times2}{36}=\frac{-37}{36}\)
d) MC: 312
\(\frac{1}{4}+\frac{5}{12}-\frac{1}{13}-\frac{7}{8}=\frac{1\times78+5\times26-1\times24-7\times39}{312}=\frac{-89}{312}\)
\(=\frac{19}{4}+\left(-0.37\right)+\frac{1}{8}+\left(-1.28\right)+\left(-2.5\right)+\frac{37}{12}\)\(\frac{37}{12}\)
\(=\left(\frac{19}{4}+\frac{1}{8}+\frac{37}{12}\right)+\left(\left(-0.37\right)+\left(-1.28\right)+\left(-2.5\right)\right)\)
\(=\frac{191}{24}+\left(-\frac{83}{20}\right)\)
\(=\frac{457}{120}\)
tu giai di ko biet nha!!!!