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\(\left(\dfrac{5}{6}+\dfrac{7}{x}\right)-\dfrac{16}{12}=\dfrac{2}{3}\)
\(\Rightarrow\dfrac{5}{6}+\dfrac{7}{x}=\dfrac{2}{3}+\dfrac{16}{12}=\dfrac{8}{12}+\dfrac{16}{12}=\dfrac{24}{12}=2\)
\(\Rightarrow\dfrac{7}{x}=2-\dfrac{5}{6}=\dfrac{12}{6}-\dfrac{5}{6}=\dfrac{7}{6}\)
=> x = 6
(\(\dfrac{5}{6}\) + \(\dfrac{7}{x}\)) - \(\dfrac{16}{12}\) = \(\dfrac{2}{3}\)
\(\dfrac{5}{6}\) + \(\dfrac{7}{x}\) = \(\dfrac{2}{3}\) + \(\dfrac{16}{12}\)
\(\dfrac{5}{6}\) + \(\dfrac{7}{x}\) = 2
\(\dfrac{7}{x}\) = 2 - \(\dfrac{5}{6}\)
\(\dfrac{7}{x}\) = \(\dfrac{1}{6}\)
\(x\) = 6 x (7 : 1)
\(x\) = 6 x 7
\(x\) = 42
#Yu
\(\dfrac{41}{36}:\dfrac{5}{12}=\dfrac{41}{36}\times\dfrac{12}{5}=\dfrac{492}{180}=\dfrac{41}{15}\\ 8:\dfrac{16}{17}=\dfrac{8}{1}\times\dfrac{17}{16}=\dfrac{136}{16}=\dfrac{17}{2}\\ \dfrac{16}{13}:8=\dfrac{16}{13}\times\dfrac{1}{8}=\dfrac{2}{13}\)
\(\)\(\dfrac{41}{36}\) : \(\dfrac{5}{12}\) = \(\dfrac{41}{36}\) x \(\dfrac{12}{5}\) =\(\dfrac{41}{15}\)
8 : \(\dfrac{16}{17}\) = 8 x \(\dfrac{17}{16}\) =\(\dfrac{17}{2}\)
\(\dfrac{16}{13}\) : 8 = \(\dfrac{16}{13}\) x \(\dfrac{1}{8}\) =\(\dfrac{2}{13}\)
TL
3/4 + 2/3 + 5/12 = 11/6
15/16 : 3/8 x 3/4 = 15/8
HT
1/3 + 1/2 + 1/5 + 12/15 + 22/33 + 16/32
=1/3 + 1/2 + 1/5 + 4/5 + 2/3 + 1/2
=(1/3 + 2/3) + (1/5 + 4/5) + (1/2 + 1/2)
= 1 + 1 + 1
=3
Chúc bạn học tốt !
Phần ở dưới mới là câu hỏi đúng phần câu hỏi ở trên vẫn còn thiếu nha !
\(=\frac{1}{12}+\frac{5}{12}+\frac{3}{16}+\frac{5}{16}\)
\(=\frac{6}{12}+\frac{8}{16}\)
\(=\frac{1}{2}+\frac{1}{2}\)
\(=\frac{2}{2}\)
\(=1\)
\(=\left(\frac{1}{12}+\frac{5}{12}\right)+\left(\frac{3}{16}+\frac{5}{16}\right)\)
=\(\frac{1}{2}+\frac{1}{2}\)
\(=\frac{2}{2}=1\)
\(y:\dfrac{1}{16}-y:0,25-12.y:6=4,15\)
\(y.\dfrac{16}{1}-y.\dfrac{4}{1}-12.y.\dfrac{1}{6}=\dfrac{415}{10}\)
\(y.16-y.4-2.y=\dfrac{415}{10}\)
\(y.10=\dfrac{415}{10}\Rightarrow y=\dfrac{415}{10}:10=\dfrac{415}{10}.\dfrac{1}{10}\)
\(y=\dfrac{83}{50}\)
hơi rối bạn có thể xem lại đề và trình bày lại ko vì nó hơi khó nhìn
a)
Vì 2/9=6/27=8/36=12/54=16/72=18/81 nên:
2/9+6/27+8/36+12/54+16/72+18/81=
2/9+2/9+2/9+2/9+2/9+2/9=
2/9*6=
12/9=
4/3
Vậy 2/9+6/27+8/36+12/54+16/72+18/81=4/3
b)
Ta có:
1-2/5=3/5
1-2/7=5/7
1-2/9=7/9
...
1-2/99=97/99
Vậy (1-2/5)*(1-2/7)*(1-2/9)*...*(1-2/99)=
3/5*5/7*7/9*...*97/99=
(3*5*7*...*97)/(5*7*9*...*99)=
3/99=
1/33
Vậy (1-2/5)*(1-2/7)*(1-2/9)*...*(1-2/99)=1/33
c)
Gọi biểu thức 1/2+1/4+1/8+1/16+...+1/1024 là S,ta có:
S=1/2+1/4+1/8+1/16+...+1/1024
S*2=1+1/2+1/4+1/8+...+1/512
S*2-S=(1+1/2+1/4+1/8+...+1/512)-(1/2+1/4+1/8+1/16+...+1/1024)
S=1-1/1024
S=1023/1024
Vậy 1/2+1/4+1/8+1/16+...+1/1024=1023/1024
Trả lời:
\(\frac{1}{12}+\frac{3}{16}+\frac{5}{12}+\frac{5}{16}\)
\(=\left(\frac{1}{12}+\frac{5}{12}\right)+\left(\frac{3}{16}+\frac{5}{16}\right)\)
\(=\frac{6}{12}+\frac{8}{16}\)
\(=\frac{1}{2}+\frac{1}{2}\)
\(=\frac{2}{2}\)
\(=1\)
Kết quả của phép tính \(\frac{1}{12}+\frac{3}{16}+\frac{5}{12}+\frac{5}{16}\)là \(1\)
Chúc bn học tốt.
\(\frac{1}{12}+\frac{3}{16}+\frac{5}{12}+\frac{5}{16}=\frac{6}{12}+\frac{8}{16}=\frac{1}{2}+\frac{1}{2}=\frac{2}{2}=1\)