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\(\dfrac{1}{2}+\dfrac{3}{4}-\left(\dfrac{3}{4}-\dfrac{4}{5}\right)\)
=\(\dfrac{1}{2}+\dfrac{3}{4}-\dfrac{3}{4}+\dfrac{4}{5}\)
=\(\left(\dfrac{1}{2}+\dfrac{4}{5}\right)+\left(\dfrac{3}{4}-\dfrac{3}{4}\right)\)
=\(\left(\dfrac{5}{10}+\dfrac{8}{10}\right)+0\)
=\(\dfrac{13}{10}\)
\(-\dfrac{7}{25}.\dfrac{11}{13}+\left(-\dfrac{7}{25}\right).\dfrac{2}{13}-\dfrac{18}{25}\)
=\(-\dfrac{7}{25}.\cdot\left(\dfrac{11}{13}+\dfrac{2}{13}\right)-\dfrac{18}{25}\)
=\(-\dfrac{7}{25}.1-\dfrac{18}{25}\)
=\(-\dfrac{7}{25}-\dfrac{18}{25}\)
=\(-\dfrac{25}{25}\) = \(-1\)
a)(3/4-5/6+7/12).(-12/7)=1/2.(-12/7)
=6/7
b)1,4.15/49-(4/5+2/3):11/5=1,4.15/49-22/15:11/5
=3/7-2/3=-5/21
(3/4-5/6+7/12)×(-12/7)
=(9/12-10/12+7/12)×(-12/7)
=(-1/12+7/12)×(-12/7)
=6/12×(-12/7)
=1/2×(-12/7)
=-12/14
=-6/7
Câu a:
\(\frac{2^{12}.3^5-4^6.9^2}{12^6+8^4.3^5}\)
= \(\frac{2^{12}.3^5-2^{12.3^6}}{2^{12}.3^6+2^{12}.3^5}\)
= \(\frac{2^{12}.3^4.\left(3-1\right)}{2^{12}.3^5.\left(3+1\right)}\)
= \(\frac{2}{3.4}\)
= \(\frac16\)
Câu b:
\(\frac{5^{10}.7^3-25^5.49^2}{\left(125.7\right)^3+5^9.14^3}\)
= \(\frac{5^{10}.7^3-5^{10}.7^4}{5^9.7^3+5^9.2^3.7^3}\)
= \(\frac{5^{10}.7^3.\left(1-7\right)}{5^9.7^3.\left(1+8\right)}\)
= \(\frac{5.\left(-6\right)}{9}\)
=- 10/3
\(\dfrac{7}{-25}+\dfrac{18}{25}+\dfrac{4}{23}+\dfrac{5}{7}+\dfrac{19}{23}\)
=\(\left(\dfrac{-7}{25}+\dfrac{18}{25}\right)+\left(\dfrac{4}{23}+\dfrac{19}{23}\right)+\dfrac{5}{7}\)
= \(\dfrac{11}{25} +1+\dfrac{5}{7}\)
= \(1\dfrac{11}{25}+\dfrac{5}{7}\)
= \(2\dfrac{27}{175}\)
b) \(-2+\dfrac{15}{19}+\dfrac{-15}{17}+\dfrac{15}{23}+\dfrac{4}{19}\)
=\(-2+\left(\dfrac{ }{ }\right)\)
CÂU 1:\(\frac{2}{35}:\left(\frac{3}{5}+\frac{3}{7}\right)\)
\(=\frac{2}{35}:\frac{36}{35}\)
\(=\frac{1}{18}\)
CÂU 2:\(\frac{1}{2}\cdot\frac{25}{6}-\left(\frac{4}{3}+\frac{5}{3}\right)\)
\(=\frac{25}{12}-3\)
\(=-\frac{11}{12}\)
CÂU 3:\(5\frac{5}{7}-\left(\frac{3}{7}+2\frac{3}{5}\right):\frac{4}{5}\)
\(=\frac{40}{7}-\left(\frac{3}{7}+\frac{13}{5}\right):\frac{4}{5}\)
\(=\frac{40}{7}-\frac{106}{35}:\frac{4}{5}\)
\(=\frac{40}{7}-\frac{53}{14}\)
\(=\frac{27}{14}\)