\(\dfrac{1}{42}+\dfrac{1}{30}+\dfrac{1}{12}+\dfrac{1}{6}+\dfrac{1}{2}\)
\(=\dfrac{1}{2}+\dfrac{1}{6}+\dfrac{1}{12}+\dfrac{1}{30}+\dfrac{1}{42}\)
\(=\dfrac{1}{1\times2}+\dfrac{1}{2\times3}+\dfrac{1}{3\times4}+\dfrac{1}{5\times6}+\dfrac{1}{6\times7}\)
\(=1-\dfrac{1}{2}+\dfrac{1}{2}-\dfrac{1}{3}+\dfrac{1}{3}-\dfrac{1}{4}+\dfrac{1}{5}-\dfrac{1}{6}+\dfrac{1}{6}-\dfrac{1}{7}\)
\(=1-\dfrac{1}{4}+\dfrac{1}{5}-\dfrac{1}{7}\)
\(=\dfrac{140}{140}-\dfrac{35}{140}+\dfrac{28}{140}-\dfrac{20}{140}\)
\(=\dfrac{113}{140}\)

\(\dfrac{1}{2}+\dfrac{1}{6}+\dfrac{1}{12}+\dfrac{1}{30}+\dfrac{1}{42}\)

\(=\dfrac{1}{2}+\dfrac{1}{2.3}+\dfrac{1}{3.4}+\dfrac{1}{5.6}+\dfrac{1}{6.7}\)

\(=\dfrac{1}{2}+\dfrac{1}{2}-\dfrac{1}{3}+\dfrac{1}{3}-\dfrac{1}{4}+\dfrac{1}{5}-\dfrac{1}{6}+\dfrac{1}{6}-\dfrac{1}{7}\)

\(=1-\dfrac{1}{4}+\dfrac{1}{5}-\dfrac{1}{7}=\dfrac{140-35+28-20}{140}=\dfrac{113}{140}\)

Mình nghĩ đề bài cần thêm 1/20 mới tính nhanh được

\(\dfrac{5}{3}< x< \dfrac{7}{3}\)
\(\dfrac{5}{3}< \dfrac{x}{3}< \dfrac{7}{3}\)
\(x=\dfrac{6}{3}\)
\(x=2\)

vì 5/3 < x > 7/3 

=> x = 6/3 * hoặc x = 2 *

\(\dfrac{1}{3}=44:\dfrac{x}{66}\)
\(\dfrac{x}{66}=44:\dfrac{1}{3}\)
\(\dfrac{x}{66}=44\times3\)
\(\dfrac{x}{66}=132\)
\(x=132\times66\)
\(x=8712\)

Cách 1:
\(\dfrac{7}{5}-\dfrac{1}{3}-\dfrac{1}{5}\)
\(=\dfrac{21}{15}-\dfrac{5}{15}-\dfrac{3}{15}\)
\(=\dfrac{13}{15}\)
Cách 2:
\(\dfrac{7}{5}-\dfrac{1}{3}-\dfrac{1}{5}\)
\(=\left(\dfrac{7}{5}-\dfrac{1}{5}\right)-\dfrac{1}{3}\)
\(=\dfrac{6}{5}-\dfrac{1}{3}\)
\(=\dfrac{18}{15}-\dfrac{5}{15}\)
\(=\dfrac{13}{15}\)

\(A=\dfrac{1+2+3+...+9}{21+22+...+29}\)
\(=\dfrac{\left(1+9\right)+\left(2+8\right)+\left(3+7\right)+...+\left(5+5\right)}{\left(21+29\right)+\left(22+28\right)+\left(23+27\right)+...+\left(25+25\right)}\)
\(=\dfrac{10+10+10+...+10}{50+50+50+...+50}\)
\(=\dfrac{10\times5}{50\times5}\)
\(=\dfrac{10}{50}\)
\(=\dfrac{1}{5}\)

Lời giải:

Số quả táo chiếm số phần tổng số quà là:

$\frac{1}{5}+\frac{1}{6}=\frac{11}{30}$

Số cam và táo chiếm số phần tổng số quả là:
$\frac{11}{30}+\frac{1}{5}=\frac{17}{30}$

9/11 x 8 = 72/11 

5/6 x 7 = 35/6

4/5 x 1 = 4/5 

5/8 x 0 = 0

cách 1 : 7/5 - 1/3 - 15 = 16/15 - 15 -209/15

cách 2 : 7/5 - ( 1/3 + 15 ) = 7/5 - 46/3 = -209/15 

* mk đang ko bt là đề bài của bạn có đúng ko ạ! chứ lp 4 mà học âm r thì nhanh quá ạ!

ai trả lời nhanh sẽ được 1 phần quà

Dấu _ là dấu gì vậy?

\(\dfrac{19}{20}-y=\dfrac{8}{5}-\dfrac{3}{4}\)

\(\Leftrightarrow\dfrac{19}{20}-y=\dfrac{32-15}{20}\)

\(\Leftrightarrow\dfrac{19}{20}-y=\dfrac{17}{20}\Leftrightarrow y=\dfrac{19}{20}-\dfrac{17}{20}=\dfrac{2}{20}=\dfrac{1}{10}\)

\(y:\dfrac{2}{3}=\dfrac{4}{9}.3\)

\(\Leftrightarrow y:\dfrac{2}{3}=\dfrac{12}{9}\Leftrightarrow y=\dfrac{12}{9}.\dfrac{2}{3}=\dfrac{8}{9}\)

\(a.\dfrac{19}{20}-y=\dfrac{17}{20}\)

\(y=\dfrac{2}{17}\)

\(b.y:\dfrac{2}{3}=\dfrac{4}{3}\)

\(y=\dfrac{8}{9}\)