Hãy nhập câu hỏi của bạn vào đây, nếu là tài khoản VIP, bạn sẽ được ưu tiên trả lời.
2. \(\frac{11}{5}-\frac{3}{5}\times\left(2-\frac{3}{2}\right)\)
\(=\frac{11}{5}-\left(\frac{3}{5}\times2-\frac{3}{5}\times\frac{3}{2}\right)\)
\(=\frac{11}{5}-\left(\frac{6}{5}-\frac{9}{10}\right)=\frac{11}{5}-\frac{3}{10}=\frac{22}{10}-\frac{3}{10}=\frac{19}{10}\)
3.\(\frac{19}{32}\times\frac{17}{21}+\frac{17}{21}:\frac{32}{13}=\frac{19}{32}\times\frac{17}{21}+\frac{17}{21}\times\frac{13}{32}\)
\(=\frac{17}{21}\times\left(\frac{19}{32}+\frac{13}{32}\right)=\frac{17}{21}\times1=\frac{17}{21}\)
4. \(19,26\times81+192,6\times1,8+19,26\)
\(=19,26\times81+\left[\left(192,6:10\right)\times\left(1.8\times10\right)\right]+19,26\times1\)
\(=19,26\times81+19,26\times18+19,26\times1\)
\(=19,26\times\left(81+18+1\right)=19,26\times100=1926\)
CÂU 1 VÀ CÂU 5 KO BIK LÀM MONG BN THÔNG CẢM
câu 1 : Msc : 90 KQ : 1/8
câu 2 : chưa ra nha xin lỗi
câu 3 : chép nguyên phần đầu chuyển chia 32/13 thành * 13/32 * 1 làm như bt kq : 17/21
câu 4 : chép từ đầu đến 192 , 6 thành 19,26 rồi trả 10 thành 18 làm như bt kq : 1926
câu 5 : tách ra dài lắm nhưng bạn biết làm rồi mà
( mình là chủ nick kia , câu hỏi đáp này nè )
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
= 128/256 + 64/256 + 32/256 + 16/256 + 8/256 + 4/256 + 2/256 + 1/256
= 255/256
< là mở ngoặc nhé
1/2 + 1/4 + 1/6 + 1/8 + 1/16 + 1/32
= <1/2 + 1/6> + <1/4 + 1/8> + <1/16 + 1/32>
=2/3 + 3/8 + 3/32
= 2/3 + 15/32
=33/32
a= 136 : <3 + 5> x 3 = 51
b= 136 - 51 = 85
a/b = 51/85
A = \(\dfrac{1}{2}\) + \(\dfrac{1}{4}\) + \(\dfrac{1}{8}\) + \(\dfrac{1}{16}\)+ \(\dfrac{1}{32}\)+\(\dfrac{1}{64}\)+\(\dfrac{1}{128}\)
A\(\times\) 2 = 1 + \(\dfrac{1}{2}\) + \(\dfrac{1}{4}\) + \(\dfrac{1}{8}\) + \(\dfrac{1}{16}\)+ \(\dfrac{1}{32}\)+ \(\dfrac{1}{64}\)
A \(\times\) 2 - A = 1 - \(\dfrac{1}{128}\)
A\(\times\)(2-1) = \(\dfrac{128-1}{128}\)
A = \(\dfrac{127}{128}\)
Gọi \(\dfrac{1}{2}+\dfrac{1}{4}+\dfrac{1}{8}+\dfrac{1}{16}+\dfrac{1}{32}+\dfrac{1}{64}+\dfrac{1}{128}\) là B
\(B=\dfrac{1}{2}+\dfrac{1}{4}+\dfrac{1}{8}+\dfrac{1}{16}+\dfrac{1}{32}+\dfrac{1}{64}+\dfrac{1}{128}\)
\(2\cdot B=1+\dfrac{1}{2}+\dfrac{1}{4}+\dfrac{1}{8}+\dfrac{1}{12}+\dfrac{1}{32}+\dfrac{1}{64}\)
\(2\cdot B-B=1+\dfrac{1}{2}+\dfrac{1}{4}+\dfrac{1}{8}+\dfrac{1}{12}+\dfrac{1}{32}+\dfrac{1}{64}-\left(\dfrac{1}{2}+\dfrac{1}{4}+\dfrac{1}{8}+\dfrac{1}{16}+\dfrac{1}{32}+\dfrac{1}{64}+\dfrac{1}{128}\right)\)
\(B=1+\left(\dfrac{1}{2}-\dfrac{1}{2}+\dfrac{1}{4}-\dfrac{1}{4}+.....+\dfrac{1}{64}-\dfrac{1}{64}\right)-\dfrac{1}{128}\)
\(B=1+0-\dfrac{1}{128}\)
\(B=1-\dfrac{1}{128}\)
\(B=\dfrac{128}{128}-\dfrac{1}{128}\)
\(B=\dfrac{127}{128}\)
A= 1/2 + 1/4 + 1/8 + 1/16 + 1/32 + 1/64 + 1/128 + 1/256
2A= 2(1/2 + 1/4 + 1/8 + 1/16 + 1/32 + 1/64 + 1/128 + 1/256)
= 1+1/2 + 1/4 + 1/8 + 1/16 + 1/32 + 1/64 + 1/128
=>A = 2A-A =1+1/2 + 1/4 + 1/8 + 1/16 + 1/32 + 1/64 + 1/128 -1/2 - 1/4 - 1/8 - 1/16 - 1/32 - 1/64 - 1/128 - 1/256
=1-1/256
=255/256
\(\frac{1}{2}+\frac{1}{4}+\frac{1}{8}+\frac{1}{16}+\frac{1}{32}+\frac{1}{64}\)
\(=1-\frac{1}{2}+\frac{1}{2}-\frac{1}{4}+\frac{1}{4}-\frac{1}{8}+\frac{1}{8}-\frac{1}{16}+\frac{1}{16}-\frac{1}{32}+\frac{1}{32}-\frac{1}{64}\)
\(=1-\frac{1}{64}\)
\(=\frac{63}{64}\)
\(\frac{1}{2}+\frac{1}{4}+\frac{1}{8}+\frac{1}{16}+\frac{1}{32}+\frac{1}{64}\)
\(=1-\frac{1}{2}+\frac{1}{2}-\frac{1}{4}+\frac{1}{4}-\frac{1}{8}+\frac{1}{8}-\frac{1}{16}+\frac{1}{16}-\frac{1}{32}+\frac{1}{32}-\frac{1}{64}+\frac{1}{64}\)
\(=1-\frac{1}{64}\)
\(=\frac{63}{64}\)
s=1/21 + 1/22+1/23+.........+1/210
2s= 1/22 +1/23+.........+1/210+1/211
2s-s= ( 1/22 +1/23+.........+1/210+1/211 ) -(1/21 + 1/22+1/23+.........+1/210)
s= 1/211 -1/2