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\(\frac{\frac{125}{8}+\frac{125}{97}+\frac{125}{576}+\frac{250}{991}}{\frac{25}{8}+\frac{25}{97}+\frac{25}{576}+\frac{50}{991}}\)=\(\frac{250.\left(\frac{1}{8}+\frac{1}{97}+\frac{1}{576}+\frac{1}{991}\right)}{50.\left(\frac{1}{8}+\frac{1}{97}+\frac{1}{576}+\frac{1}{991}\right)}\)=\(\frac{250}{50}\)=5
\(2^{x}+y+1-2^{x}=992\)
\(2^{x}-2^{x}+y+1=992\)
\(y+1=992\)
\(y=992-1\)
\(y=991\)
vậy \(y=991\)
= (1-1/42)+(1-1/56)+91-1/72)+(1-1/90)
=1-1/42+1-1/56+1-1/72+1-1/90
=(1+1+1+1)-(1/42+1/56+1/90)
=4-(1/6.7+1/7.8+1/8.9+1/9.10)
=4-(1/6-1/7+1/7-1/8+1/8-1/9+1/9-1/10)
=4-(1/6-1/10)
=4-1/15
=59/15
(Dấu / là gạch PS nhé, bạn nhớ đổi kết quả cuối ra hỗn số)
Chúc bạn hoc tốt![]()
Quy nhồng y ... nói vui đó
gợi ý : tử số bé hơn mẫu 1 đơn vị
\(\frac{-1}{20}+\frac{-1}{30}+\frac{-1}{42}+\frac{-1}{56}+\frac{-1}{72}+\frac{-1}{90}\)
\(=-\left(\frac{1}{20}+\frac{1}{30}+\frac{1}{42}+\frac{1}{56}+\frac{1}{72}+\frac{1}{90}\right)\)
\(=-\left(\frac{1}{4\cdot5}+\frac{1}{5\cdot6}+\frac{1}{6\cdot7}+\frac{1}{7\cdot8}+\frac{1}{8\cdot9}+\frac{1}{9\cdot10}\right)\)
\(=-\left(\frac{1}{4}-\frac{1}{5}+\frac{1}{5}-\frac{1}{6}+\frac{1}{6}-\frac{1}{7}+\frac{1}{7}-\frac{1}{8}+\frac{1}{8}-\frac{1}{9}+\frac{1}{9}-\frac{1}{10}\right)\)
\(=-\left(\frac{1}{4}-\frac{1}{10}\right)\)
\(=-\frac{3}{20}\)
Bài làm:
Ta có: \(\frac{-1}{20}+\frac{-1}{30}+\frac{-1}{42}+\frac{-1}{56}+\frac{-1}{72}+\frac{-1}{90}\)
\(=-\left(\frac{1}{4.5}+\frac{1}{5.6}+\frac{1}{6.7}+\frac{1}{7.8}+\frac{1}{8.9}+\frac{1}{9.10}\right)\)
\(=-\left(\frac{1}{4}-\frac{1}{5}+\frac{1}{5}-\frac{1}{6}=\frac{1}{6}-\frac{1}{7}+\frac{1}{7}-\frac{1}{8}+\frac{1}{8}-\frac{1}{9}+\frac{1}{9}-\frac{1}{10}\right)\)
\(=-\left(\frac{1}{4}-\frac{1}{10}\right)\)
\(=-\frac{3}{20}\)
D = 1 + \(\dfrac{-1}{20}\) + \(\dfrac{-1}{30}\) + \(\dfrac{-1}{42}\)+ \(\dfrac{-1}{56}\)+ \(\dfrac{-1}{72}\)+ \(\dfrac{-1}{90}\)
D = 1 - ( \(\dfrac{1}{4\times5}\) + \(\dfrac{1}{5\times6}\)+ \(\dfrac{1}{6\times7}\)+ \(\dfrac{1}{7\times8}\)+\(\dfrac{1}{8\times9}\)+\(\dfrac{1}{9\times10}\))
D = 1 - ( \(\dfrac{1}{4}\) - \(\dfrac{1}{10}\))
D = 1 - \(\dfrac{3}{20}\)
D = \(\dfrac{17}{20}\)
D=1+(1/4x5+1/5x6+1/6x7+1/7x8+1/8x9+1/9x10)
D=1+(1/4-1/5+1/5-1/6+1/6-1/7+1/7-1/8+1/8-1/9+1/9-1/10)
D=1+(1/4-1/10)
D=1+3/5
D=8/5
991 + {923 : [992 - (56 + 90)]}
= 991 + {923 : [992 - 146]}
= 991 + {923 : 846}
= 991 + 923/846
= 839159/846 (xấp xỉ 992,09)
hay đấy bro
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