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\(=\frac{27\left(18+103-120\right)}{33\left(15+12\right)}\)
\(=\frac{27\times1}{33\times27}\)
\(=\frac{1}{33}\)
a) \(\frac{9}{33-3}=\frac{1}{3}\)
b) \(\frac{7}{100+6\times100}=\frac{1}{100}\)
c) \(\frac{11\times22+33\times36+55\times60}{22\times24+66\times72+110\times120}=\frac{1}{4}\)
d) \(\frac{9^4\times27^5\times3^6\times4^4}{3^8\times81^4\times243\times8^2}=4\)
e) \(\frac{199919991999}{200020002000}=\frac{1999}{2000}\)
Câu 1 :
\(x:\left(\frac{1}{1.3}+\frac{1}{3.5}+...+\frac{1}{101.103}\right)=1\)
\(=>x:\left[\frac{1}{2}.\left(\frac{1}{1}-\frac{1}{3}+\frac{1}{3}-\frac{1}{5}+...+\frac{1}{101}-\frac{1}{103}\right)\right]\) \(=1\)
\(=>x:\left[\frac{1}{2}.\left(\frac{1}{1}-\frac{1}{103}\right)\right]=1\)
\(=>\) \(x:\frac{51}{103}=1\)
\(=>x=1.\frac{51}{103}=\frac{51}{103}\)
Câu 2 :
\(\left(\frac{1}{1.2}+\frac{1}{2.3}+\frac{1}{3.4}+...+\frac{1}{12.13}\right).x=2\)
\(=>\left(\frac{1}{1}-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+...+\frac{1}{11}-\frac{1}{12}\right).x=2\)
\(=>\left(\frac{1}{1}-\frac{1}{12}\right).x=2\)
\(=>\frac{11}{12}.x=2\)
\(=>x=2:\frac{11}{12}\)
\(=>x=\frac{24}{11}\)
Các tích bằng nhau là:
15 x 2 x 6 = 5 x 3 x 12 = 15 x 3 x 4
4 x 4 x 9 = 8 x 18 = 8 x 2 x 9
15 x 2 x 6 = 5 x 3 x 12 = 15 x 3 x 4
4 x 4 x 9 = 8 x 18 = 8 x 2 x 9
\(\frac{27.18+27.103-27.102}{15.33+33.12}=\frac{27\left(18+103-102\right)}{33\left(15+12\right)}\)
\(=\frac{27.19}{33.27}=\frac{19}{33}\)
k nha
\(\frac{27.18+27.103-27.102}{15.33+33.12}=\frac{27.\left(18+103-102\right)}{33.\left(15+12\right)}=\frac{27.19}{33.27}=\frac{19}{33}\)
\(\frac{27\cdot18+27\cdot103-120\cdot27}{15\cdot33+33\cdot12}\)
\(=\frac{27\left(18+103-120\right)}{33\cdot\left(15+12\right)}\)
\(=\frac{27}{33\cdot3}=\frac{27}{99}\)
\(=\frac{3}{11}\)
Đề bài : Tính
\(\frac{27.18+27.103-120.27}{15.33+33.12}\)
\(=\frac{27\left(18+103-120\right)}{33\left(15+12\right)}\)
\(=\frac{27}{33.27}\)
\(=\frac{1}{33}.\)