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a) \(A=10-1\frac{1}{6}.\frac{6}{7}\)
\(=10-\frac{7}{6}.\frac{6}{7}\)
\(=10-1=9\)
b) \(B=21:\frac{11}{2}+5\frac{2}{11}\)
\(=\frac{42}{11}+\frac{57}{11}=9\)
c) \(A=9;B=9\)
\(A.B=9.9=81\)
d) \(A=9;B=9\)
\(A:B=9:9=1\)
a) A = \(10-1\frac{1}{6}\times\frac{6}{7}\)= \(10-\frac{7}{6}\times\frac{6}{7}\)= 10 - 1 = 9
b) B = \(21:\frac{11}{2}+5\frac{2}{11}\)= \(\frac{42}{11}+\frac{57}{11}\)= 9
c) A x B = 9 x 9 = 81
c) A : B = 9 : 9 = 1
\(A=\frac{4\cdot0,125\cdot20,2\cdot800\cdot0,25}{1,01\cdot75+0,26\cdot101-1,01}\)
\(=\frac{4\cdot0,25\cdot0,125\cdot800\cdot20,2}{1,01\cdot75+0,26\cdot100\cdot1,01-1,01}\)
\(=\frac{1\cdot100\cdot20,2}{1,01\cdot\left(75+26-1\right)}\)
\(=\frac{100\cdot20,2}{100\cdot1,01}\)
= 20
\(B=\left(\frac{178}{179}+\frac{179}{180}+\frac{180}{181}\right)\cdot\left(\frac{80}{56}-\frac{15}{12}:\frac{7}{8}\right)\)
\(=\left(\frac{178}{179}+\frac{179}{180}+\frac{180}{181}\right)\cdot\left(\frac{10}{7}-\frac{5}{4}\cdot\frac{8}{7}\right)\)
\(=\left(\frac{178}{179}+\frac{179}{180}+\frac{180}{181}\right)\cdot\left(\frac{10}{7}-\frac{10}{7}\right)\)
\(=\left(\frac{178}{179}+\frac{179}{180}+\frac{180}{181}\right)\cdot0\)
= 0
\(\frac{1}{3}=\frac{1}{a}+\frac{1}{b}\)
\(\frac{1}{3}=\frac{1}{\frac{6}{2}}\)
\(\Rightarrow\frac{1}{3}=\frac{1}{6}+\frac{1}{6}\)
\(a=b=6\)
1)
\(\frac{1994.1993-1992.1993}{1992.1993+1944.7+1986}\)
\(=\frac{\left(1994-1992\right).1993}{2.1985028+2.6804+2.993}\)
\(=\frac{2.1993}{2.\left(1985028+6804+993\right)}\)
\(=\frac{2.1993}{2.1992825}\)
\(=\frac{193}{1992825}\)
2)
a) \(\frac{399.45+55.399}{1995.1996-1991.1995}\)
\(=\frac{399.\left(45+55\right)}{1995.\left(1996-1991\right)}\)
\(=\frac{399.100}{1995.5}\)\(=4\)
Câu b bài 2 mình không biết làm nữa, xin lỗi nhé!
A=\(\frac{1}{1.300}+\frac{1}{2.301}+\frac{1}{3.302}+...+\frac{1}{101.400}\)
299.A= 299.(\(\frac{1}{1.300}+\frac{1}{2.301}+\frac{1}{3.302}+...+\frac{1}{101.400}\))
299.A=\(\frac{299}{1.300}+\frac{299}{2.301}+\frac{299}{3.302}+...+\frac{299}{101.400}=\frac{1}{1}-\frac{1}{300}+\frac{1}{2}-\frac{1}{301}+...+\frac{1}{101}-\frac{1}{400}\)
A= \(=\frac{1}{299}\left(1+\frac{1}{2}+...+\frac{1}{101}-\frac{1}{300}-\frac{1}{301}-...-\frac{1}{400}\right)\)
Tương tự
B=\(\frac{1}{101}.\left(\frac{1}{1}-\frac{1}{102}+\frac{1}{2}-\frac{1}{103}+...+\frac{1}{299}-\frac{1}{400}\right)\)
B= \(\frac{1}{101}.\left(\frac{1}{1}+\frac{1}{2}...+\frac{1}{299}-\frac{1}{102}-\frac{1}{103}-...-\frac{1}{400}\right)\)
B= \(\frac{1}{101}.\left(\frac{1}{1}+\frac{1}{2}...+\frac{1}{102}+\frac{1}{103}+...+\frac{1}{299}-\frac{1}{102}-\frac{1}{103}-...-\frac{1}{400}\right)\)
B= \(\frac{1}{101}.\left(\frac{1}{1}+\frac{1}{2}...+\frac{1}{101}-\frac{1}{300}-\frac{1}{301}-...-\frac{1}{400}\right)\)
Hai dấu ngoặc ở biểu thức A và biểu thức B như nhau
Vậy \(A:B=\frac{1}{299}:\frac{1}{101}=\frac{101}{299}\)
a) \(\frac{15}{16}:\frac{25}{24}=\frac{15}{16}.\frac{24}{25}=\frac{9}{10}\)
b) \(10:\frac{5}{3}=10.\frac{3}{5}=6\)
c) \(\frac{5}{3}:10=\frac{5}{3}.\frac{1}{10}=\frac{5}{30}=\frac{1}{6}\)
a. \(\frac{15}{16}:\frac{25}{24}=\frac{15}{16}.\frac{24}{25}=\frac{9}{10}\)
b. \(10:\frac{5}{3}=10.\frac{3}{5}=6\)
c. \(\frac{5}{3}:10=\frac{5}{3}.\frac{1}{10}=\frac{1}{6}\)