3/16.12/11+3/16.7/11-3/16.8/11
thanks
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\(A=\dfrac{3^{32}\cdot2^{33}}{2^{33}\cdot3^{33}}=\dfrac{1}{3}\)
\(B=\dfrac{3^6\cdot5^{10}\cdot2^5}{2\cdot5^{14}\cdot3^{14}\cdot3^2\cdot2}=\dfrac{2^3}{3^8\cdot5^4}\)
( \(\frac{2}{3}\)- \(\frac{1}{4}\)+ \(\frac{5}{11}\)) : ( \(\frac{5}{12}\)+ 1 - \(\frac{7}{11}\))
= ( \(\frac{5}{12}\)+ \(\frac{5}{11}\)) : ( \(\frac{5}{12}\)+ \(\frac{4}{11}\))
= \(\frac{115}{132}\): \(\frac{103}{132}\)
= \(\frac{115}{103}\)
(2/3 - 1/4 +5/11 ) : ( 5/12 +1 - 7/11 )
= ( 5/12 +5/11 ) : ( 17/12-7/11 )
= 115/132:103/132
=115/132*132/10
=115/103
a; \(\dfrac{3}{11}\) + \(\dfrac{5}{-9}\) + \(\dfrac{4}{11}\) - \(\dfrac{4}{9}\) + \(\dfrac{3}{17}\) + \(\dfrac{15}{11}\)
= (\(\dfrac{3}{11}\) + \(\dfrac{4}{11}\) + \(\dfrac{15}{11}\)) - (\(\dfrac{5}{9}\) + \(\dfrac{4}{9}\)) + \(\dfrac{3}{17}\)
= 2 - 1 + \(\dfrac{3}{17}\)
= 1 + \(\dfrac{3}{17}\)
= \(\dfrac{20}{17}\)
c; N = \(\dfrac{\dfrac{5}{7}-\dfrac{5}{9}-\dfrac{5}{11}}{\dfrac{15}{7}+\dfrac{15}{9}+\dfrac{15}{11}}\)
Phải là - \(\dfrac{5}{7}\) chỗ tử số mới đúng em nhé!
A = \(\frac{75-\frac{6}{13}+\frac{3}{17}-\frac{3}{19}}{275-\frac{22}{13}+\frac{11}{17}-\frac{11}{19}}\)
A = \(\frac{3.\left(25-\frac{2}{13}+\frac{1}{17}-\frac{1}{19}\right)}{11.\left(25-\frac{2}{13}+\frac{1}{17}-\frac{1}{19}\right)}\)
A = \(\frac{3}{11}\)
\(=\dfrac{11}{6}-\dfrac{14}{3}+\sqrt{2}=\dfrac{11-28+6\sqrt{2}}{6}=\dfrac{-17+6\sqrt{2}}{6}\)
Có:
\(\dfrac{3}{16}.\dfrac{12}{11}+\dfrac{3}{16}.\dfrac{7}{11}-\dfrac{3}{16}.\dfrac{8}{11}\)
\(=\dfrac{3}{16}.\left(\dfrac{12}{11}+\dfrac{7}{11}-\dfrac{8}{11}\right)\) (Áp dụng tính chất phân phối)
\(=\dfrac{3}{16}.\left(\dfrac{11}{11}\right)=\dfrac{3}{16}.1=\dfrac{3}{16}\) (đpcm)
Chúc bạn học tốt!