\(\frac{1}{2.x}-\frac{1}{1.2}-\frac{1}{2.3}-\frac{1}{3.4}-...-\frac{1}{45.46}=-2\)

\(\frac{1}{2.x}-\left(\frac{1}{1.2}+\frac{1}{2.3}+\frac{1}{3.4}+...+\frac{1}{45.46}\right)=-2\)

\(\frac{1}{2.x}-\left(1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+...+\frac{1}{45}-\frac{1}{46}\right)=-2\)

\(\frac{1}{2.x}-\left(1-\frac{1}{46}\right)\)

\(\frac{1}{2.x}-\frac{45}{46}=-2\)

\(\frac{1}{2.x}=-2+\frac{45}{46}\)

\(\frac{1}{2.x}=\frac{-47}{46}\)

\(2x=\frac{46}{-47}\)

\(x=\frac{46}{-47}:2=\frac{-23}{47}\)

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Hỏi gg đi khó lắm

Xin lỗi  vì ko giúp cho bạn vì khó lắm

a; 0,2.\(\dfrac{15}{36}\) - (\(\dfrac{2}{5}\) + \(\dfrac{2}{3}\)): 1%

   = \(\dfrac{1}{12}\)  - \(\dfrac{16}{15}\): \(\dfrac{1}{100}\)

  =    \(\dfrac{1}{12}\) - \(\dfrac{320}{3}\)

= \(\dfrac{1}{12}\) - \(\dfrac{1280}{12}\)
= - \(\dfrac{1279}{12}\)

b; 75% - 1\(\dfrac{1}{2}\) + 0,5 : \(\dfrac{5}{12}\)

= 0,75 - 1,5 + 1,2

= -0,75 + 1,2

= 0,45

c; 1\(\dfrac{3}{15}.0,75-\left(\dfrac{8}{15}+0,25\right)\).\(\dfrac{24}{47}\)

= \(\dfrac{28}{15}\).0,75 - \(\dfrac{47}{60}\).\(\dfrac{24}{47}\)

= \(\dfrac{7}{5}-\dfrac{2}{5}\)

= 1

d; \(\dfrac{32}{15}\): (-1\(\dfrac{1}{5}\) + 1\(\dfrac{1}{3}\))

= \(\dfrac{32}{15}\): (-\(\dfrac{6}{5}\) + \(\dfrac{4}{3}\))

= \(\dfrac{32}{15}\): \(\dfrac{2}{15}\)

= 16

e; 20 + 9\(\dfrac{1}{4}:2\dfrac{1}{4}\)

= 20 + \(\dfrac{37}{4}\) : \(\dfrac{9}{4}\)

= 20 + \(\dfrac{37}{9}\)

= \(\dfrac{217}{9}\)

g; \(\dfrac{3}{4}.\dfrac{16}{9}\)- \(\dfrac{7}{5}\): (-\(\dfrac{21}{20}\))

=  \(\dfrac{4}{3}\) - (-\(\dfrac{4}{3}\))

= \(\dfrac{4}{3}\) + \(\dfrac{4}{3}\)

= \(\dfrac{8}{3}\)

a, 6/5

b,1

nhớ ghi rõ cách làm ( tính nhanh )

Ta có : \(\frac{3}{5}+\frac{6}{11}+\frac{7}{13}+\frac{2}{5}+\frac{5}{11}+\frac{19}{13}+\frac{1}{2}+\frac{2}{3}-\frac{1}{6}\)

\(=\left(\frac{3}{5}+\frac{2}{5}\right)+\left(\frac{6}{11}+\frac{5}{11}\right)+\left(\frac{7}{13}+\frac{19}{13}\right)+\left(\frac{1}{2}+\frac{2}{3}-\frac{1}{6}\right)\)

\(=1+1+2+1=5\)

\(\frac{3}{5}+\frac{6}{11}+\frac{7}{13}+\frac{2}{5}+\frac{5}{11}+\frac{19}{13}:\frac{1}{2}+\frac{2}{3}-\frac{1}{6}\)

\(=\left(\frac{3}{5}+\frac{2}{5}\right)+\left(\frac{19}{13}-\frac{7}{13}\right)+\left(\frac{6}{11}+\frac{5}{11}\right):\frac{2}{3}+\frac{1}{6}\)

\(=1+1+1:\frac{2}{3}+\frac{1}{6}\)

\(=3:\frac{2}{3}+\frac{1}{6}\)

\(=\frac{9}{2}+\frac{1}{6}\)

\(=\frac{14}{3}\)

= (3/5 + 2/5) + (6/11 + 5/11) + (7/13 + 19/13) : 1/2 + 2/3 - 1/6

= (1 + 1 + 2) : (1/2 + 4/6 - 1/6)

= 4 : (1/2 + 1/2)

= 4 : 1

= 4

Vậy kết quả bằng 4

giúp mk với

mong ban ghi han hoi :)

khó đọc quá

\(\sqrt{12}-2\sqrt{48}+\frac{7}{5}\sqrt{75}\)

=\(2\sqrt{3}-8\sqrt{3}+7\sqrt{3}\)

\(\sqrt{3}\)

5/8+3/8÷3/11-10

5/8+3/8×11/3-10

5/8+33/24-10

15/24+33/24-10

48/24-10

48/24-10/1

48/24-240/24

-192/24=4/1