Question

[Cong chua ho Nguyen]

4/12+4/20+4/30+...+4/306

BÀI 2 tìm x

(3x-4)-(6x+7)=8

(4/5x+3):(-4)=1/2

Các bạn hãy giúp mình giải bài này 

Answer 1

[ღღ_๖ۣ nhók_lùn ❣_ღღ]

Bài 1:

\(\frac{4}{12}+\frac{4}{20}+\frac{4}{30}+...+\frac{4}{306}\)

\(=4\cdot\left(\frac{1}{12}+\frac{1}{20}+\frac{1}{30}+...+\frac{1}{306}\right)\)

\(=4\cdot\left(\frac{1}{3\cdot4}+\frac{1}{4\cdot5}+\frac{1}{5\cdot6}+...+\frac{1}{17\cdot18}\right)\)

\(=4\cdot\left(\frac{1}{3}-\frac{1}{4}+\frac{1}{4}-\frac{1}{5}+\frac{1}{5}-\frac{1}{6}+...+\frac{1}{17}-\frac{1}{18}\right)\)

\(=4\cdot\left(\frac{1}{3}-\frac{1}{18}\right)\)

\(=4\cdot\left(\frac{6}{18}-\frac{1}{18}\right)\)

\(=4\cdot\frac{5}{18}\)

\(=\frac{10}{9}\)

Bài 2  :

\(\left(3x-4\right)-\left(6x+7\right)=8\)

\(3x-4-6x-7=8\)

\(\left(3x-6x\right)-\left(4+7\right)=8\)

\(-3x-11=8\)

\(-3x=8+11\)

\(-3x=19\)

\(x=19:\left(-3\right)\)

\(x=\frac{-19}{3}\)

Vậy  \(x=\frac{-19}{3}\)

b ) \(\left(\frac{4}{5}x+3\right):\left(-4\right)=\frac{1}{2}\)

\(\frac{4}{5}x+3=\frac{1}{2}\cdot\left(-4\right)\)

\(\frac{4}{5}x+3=-2\)

\(\frac{4}{5}x=\left(-2\right)-3\)

\(\frac{4}{5}x=-5\)

\(x=\left(-5\right):\frac{4}{5}\)

\(x=\left(-5\right)\cdot\frac{4}{5}\)

\(x=-4\)

Vậy   \(x=-4\)

k nha !

Answer 2

[Yeah 2 Music!]

\(\frac{4}{12}\)+\(\frac{4}{20}\)+...+\(\frac{4}{306}\)=\(\frac{4}{3.4}\)+\(\frac{4}{4.5}\)+...+\(\frac{4}{17.18}\)=4(\(\frac{1}{3}\)-\(\frac{1}{4}\)+\(\frac{1}{4}\)-\(\frac{1}{5}\)+...+\(\frac{1}{17}\)-\(\frac{1}{18}\))

                                                                                                  =4(\(\frac{1}{3}\)-\(\frac{1}{8}\))=4.\(\frac{5}{24}\)=\(\frac{5}{6}\)