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Đặt A=2/3-1/4+5/11
A=5/12+5/11
A=115/132
Đặt B=5/12+1-7/11
B=103/132
Suy ra:P=A/B
P=115/132:103/132
P=115/103
a) =-5/7 +7/8-2/7+1/8- -1/12+ -13/12
=(-5/7-2/7)+(7/8+1/8)-(-1/12--13/12)
=-7/7+8/8 - 12/12
= -1+1+1
=1
b)= ( -3/8+11/8)-(12/11+ -1/11)+(-3/5- 2/5)
= 1- 1 + (-1)
=-1
Trả lời
\(P=\frac{\frac{2}{3}-\frac{1}{4}+\frac{5}{11}}{\frac{5}{12}+1-\frac{7}{11}}\)
\(\Leftrightarrow P=\frac{\frac{8}{12}-\frac{3}{12}+\frac{5}{11}}{\frac{5}{12}+\frac{12}{12}-\frac{7}{11}}\)
\(\Leftrightarrow P=\frac{\frac{5}{12}+\frac{5}{11}}{\frac{17}{12}-\frac{7}{11}}\)
\(\Leftrightarrow P=\frac{\frac{55}{132}+\frac{60}{132}}{\frac{187}{132}-\frac{84}{132}}\)
\(\Leftrightarrow P=\frac{\frac{115}{132}}{\frac{103}{132}}\)
\(\Leftrightarrow P=\frac{115}{132}\)
\(P=\frac{\frac{2}{3}-\frac{1}{4}+\frac{5}{11}}{\frac{5}{12}+1-\frac{7}{11}}\)
\(\Rightarrow P=\frac{\frac{8}{12}-\frac{3}{12}+\frac{5}{11}}{\frac{5}{12}+\frac{11}{11}-\frac{7}{11}}\)
\(\Rightarrow P=\frac{\frac{5}{12}+\frac{5}{11}}{\frac{5}{12}+\frac{4}{11}}\)
Chúc bạn học tốt !!!
\(P=\frac{\frac{2}{3}-\frac{1}{4}+\frac{5}{11}}{\frac{3}{12}+1+\frac{7}{11}}\)
\(P=\frac{\frac{2}{3}-\frac{1}{4}+\frac{5}{11}}{\frac{1}{4}+1+\frac{7}{11}}\)
\(P=\frac{\left(\frac{2}{3}-\frac{1}{4}+\frac{5}{11}\right)\cdot132}{\left(\frac{1}{4}+1+\frac{7}{11}\right)\cdot132}\)
\(P=\frac{88-33+60}{33+132+84}\)
\(P=\frac{115}{249}\)
Ta có : \(\frac{10^{10}+1}{10^{11}+1}\Rightarrow\frac{10\left(10^{10}+1\right)}{10^{11}+1}=\frac{10^{11}+10}{10^{11}+1}=\frac{10^{11}+1+9}{10^{11}+1}=1+\frac{9}{10^{11}+1}\)
\(\frac{10^{11}+1}{10^{12}+1}\Rightarrow\frac{10\left(10^{11}+1\right)}{10^{12}+1}=\frac{10^{12}+10}{10^{12}+1}=\frac{10^{12}+1+9}{10^{12}+1}=1+\frac{9}{10^{12}+1}\)
Ta thấy \(10^{11}+1<10^{12}+1\Rightarrow\frac{9}{10^{11}+1}>\frac{9}{10^{12}+1}\Rightarrow\frac{10^{10}+1}{10^{11}+1}>\frac{10^{11}+1}{10^{12}+1}\)