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\(x\)là dấu nhân hả bạn? Nếu vậy thì mk làm cho nhé
\(A=\left(1-\frac{1}{2}\right)\cdot\left(1-\frac{1}{3}\right)\cdot\left(1-\frac{1}{4}\right)\cdot....\cdot\left(1-\frac{1}{20}\right)\)
\(A=\frac{1}{2}\cdot\frac{2}{3}\cdot\frac{3}{4}\cdot.......\cdot\frac{17}{18}\cdot\frac{18}{19}\cdot\frac{19}{20}=\frac{1}{20}\)
Vậy \(A=\frac{1}{20}\)
\(B=1\frac{1}{2}\cdot1\frac{1}{3}\cdot1\frac{1}{4}\cdot........\cdot1\frac{1}{2005}\cdot1\frac{1}{2006}\cdot1\frac{1}{2007}\)
\(B=\frac{3}{2}\cdot\frac{4}{3}\cdot\frac{5}{4}\cdot......\cdot\frac{2006}{2005}\cdot\frac{2007}{2006}\cdot\frac{2008}{2007}=\frac{2008}{2}=1004\)
Vậy \(B=1004\)
DẤU CHẤM LÀ DẤU NHÂN
a,
\(=\frac{1}{2}.\frac{2}{3}.\frac{3}{4}....\frac{19}{20}=\frac{1}{20}\)
b, \(1\frac{1}{2}.1\frac{1}{3}....1\frac{1}{2017}=\frac{3}{2}.\frac{4}{3}....\frac{2018}{2017}=\frac{2018}{2}=1009\)
X x 1/4+X x 1/5+X x 2=19,6
X x (1/4+1/5+2)=19,6
X x 2,45=19,6
X=19,6:2,45
X=8
\(\frac{1}{1}\cdot\frac{1}{2}+\frac{1}{2}\cdot\frac{1}{3}+\frac{1}{3}\cdot\frac{1}{4}+\frac{1}{4}\cdot\frac{1}{5}+\frac{1}{5}\cdot\frac{1}{6}=\)
\(\frac{1}{1\cdot2}+\frac{1}{2\cdot3}+\frac{1}{3\cdot4}+\frac{1}{4\cdot5}+\frac{1}{5\cdot6}=\)
\(\frac{1}{1}-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+\frac{1}{4}-\frac{1}{5}+\frac{1}{5}-\frac{1}{6}=\)
\(\frac{1}{1}-\frac{1}{6}=\frac{5}{6}\)
k nha gõ mỏi tay lắm
a.\(\left(1-\frac{1}{2}\right)\left(1-\frac{1}{3}\right)...\left(1-\frac{1}{2015}\right)=\frac{1}{2}.\frac{2}{3}...\frac{2014}{2015}=\frac{1.2.3...2014}{2.3...2015}=\frac{1}{2015}\)
b.\(\frac{1}{2}+\frac{1}{4}+\frac{1}{8}+...+\frac{1}{256}=1-\frac{1}{2}+\frac{1}{2}-\frac{1}{4}+\frac{1}{4}-\frac{1}{8}+...+\frac{1}{128}-\frac{1}{256}=1-\frac{1}{256}=\frac{255}{256}\)
c.\(\frac{5}{2}+\frac{5}{4}+\frac{5}{8}+...+\frac{5}{256}=5\left(\frac{1}{2}+\frac{1}{4}+\frac{1}{8}+...+\frac{1}{256}\right)=5.\frac{255}{256}=\frac{1275}{256}\)
d.14,35+(13,7-13,6).1=14,35+0,1.1=14,35+0,1=14,45
a) \(x+1,23\div3=1,845\) c) Không rõ
\(x+0,41=1,845\)
\(x=1,845-0,41\)
\(x=1,435\)
b) \(x\times\frac{1}{4}+x\times\frac{1}{5}+x\times2=19,6\) d) \(x+3\frac{1}{2}+20=24\frac{1}{4}\)
\(x\times\left(\frac{1}{4}+\frac{1}{5}+2\right)=19,6\) \(x+\frac{7}{2}+20=\frac{97}{4}\)
\(x\times\frac{49}{20}=19,6\) \(x+\frac{47}{2}=\frac{97}{4}\)
\(x=19,6\div\frac{49}{20}\) \(x=\frac{97}{4}\div\frac{47}{2}\)
\(x=8\) \(x=\frac{97}{94}\)
x+4/7=3/4 x-3/4=2/5 x x 2/3=3/4x1/2
x=3/4-4/7 x=2/5+3/4 x x2/3=3/8
x=21/28-16/28 x=8/20+15/20 x=3/8:2/3
x=5/28 x=23/20 x=9/16
1. Đề:...........
<=> x = 3/4 - 4/7
<=> x = 5/28
Vậy x = 5/28
2. Đề:............
<=> x = 2/5 + 3/4
<=> x = 23/20
Vậy x = 23/20
3. Đề:..........
<=> x. 2/3 = 3/8
<=> x = 3/8. 3/2
<=> x = 9/16
Vậy x = 9/16
75 phút x 5 + 5/4 giờ x 3 + 2 x 1 giờ 15 phút
= 75 phút x 5 + 75 phút x 3 + 2 x 75 phút
= 75 phút x ( 5 + 3 + 2 )
= 1,25 giờ x 10 = 12,5 giờ
75 phút \(\times\) 5 + \(\dfrac{5}{4}\) giờ \(\times\) 3 + 2 \(\times\) 1 giờ 15 phút
= 375 phút + \(\dfrac{15}{4}\) giờ + 2 giờ 30 phút
= 6,25 giờ + 3,75 giờ + 2giờ 30 phút
= 10 giờ + 2 giờ 30 phút
= 12 giờ 30 phút
b, \(x\)x \(\frac{1}{4}\)+ \(x\)x \(\frac{1}{5}\)+ \(x\)x 2 = 19,6
\(x\)x (\(\frac{1}{4}+\frac{1}{5}+2\)) = 19,6
\(x\)x\(\frac{49}{20}\)= 19,6
\(x\) = \(19,6:\frac{49}{20}\)
\(x=8\)