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(10).(X,Y).(10).(9,9)=100.(XX,YY)
(XY).(99)=(XXYY)
(10X+Y).(99)=1000X+100X+10Y+Y
990X+99Y=1100X+11Y
88Y=110X
(88:22).Y=(110:22)X
4. Y=5 .X <=>
Y=5 ; X=4
4,5 x 9,9 = 44,55
xy x 99=xxyy
x x 10 + y x 99=x x 1000 + x x 100 + y x 10 + y
x x 990 + y x 99= x x 1100 + y x 11
y x 88 = x x 110
y x 4 =x x 5
=>y=5 ;x=4
a/ (x+1)+(x+2)+(x+3)+....+(x+50)=2275
<=> (x+x+...+x)+(1+2+3+...+50)=2275
<=> \(50x+\frac{50\left(50+1\right)}{2}=2275\)
<=> 50.x+1275=2275
<=> 50x=1000
=> x=1000:50 => x=20
b/ x04+40x=101x11
<=> 100x+4+400+x=1111
<=> 101x=707
=> x=707:101 => x=7
a, ( x + 1 ) + ( x + 2 ) + ( x + 3 ) + ... + ( x + 50 ) = 2275
x x 50 + ( 50 + 1 ) x ( 50 : 2 ) = 2257
x x 50 + 51 x 25 = 2257
x x 50 + 1275 = 2257
x x 50 = 2257 - 1275
x x 50 = 982
x = 982 : 50
x = 19,64
\(a.\frac{4}{3}-\frac{3}{2}:X=\frac{1}{6}\)
\(\frac{3}{2}:X=\frac{4}{3}-\frac{1}{6}\)
\(\frac{3}{2}:X=\frac{8}{6}-\frac{1}{6}\)
\(\frac{3}{2}:X=\frac{7}{6}\)
\(X=\frac{3}{2}:\frac{7}{6}\)
\(X=\frac{3}{2}\times\frac{6}{7}\)
\(X=\frac{9}{7}\)
\(b.\left(X+\frac{2}{3}\right):\frac{1}{3}=\frac{41}{3}\)
\(X-\frac{2}{3}=\frac{41}{3}.\frac{1}{3}\)
\(X-\frac{2}{3}=\frac{41}{9}\)
\(X=\frac{41}{9}+\frac{2}{3}\)
\(X=\frac{41}{9}+\frac{6}{9}\)
\(X=\frac{47}{9}\)
\(\left(2.8x-32\right):\frac{2}{3}=90\)
\(2.8\cdot x-32=90\cdot\frac{2}{3}\)
\(\frac{14}{5}x-32=60\)
\(\frac{14}{5}x=60+32\)
\(\frac{14}{5}x=92\)
\(x=\frac{230}{7}\)
B , c , d tương tự
\(a,\frac{10}{21}×\frac{14}{25}=\frac{4}{15}\)
\(b,3\frac{1}{3}×\frac{12}{35}=\frac{10}{3}×\frac{12}{35}=\frac{8}{7}\)
\(c,\frac{7}{15}×\frac{11}{13}+\frac{7}{15}×\frac{2}{13}+\frac{8}{15}=\frac{7}{15}+\frac{8}{15}=1\)
\(d,\left(\frac{41}{75}+\frac{17}{10}\right)×\frac{80}{129}=\frac{4}{9}\)
Ta có: 272727x28 - 282828x27 = 27x10101x28 - 28x10101x27 = 0
Vậy, phép tính đã cho bằng 0
4) \(\frac{29x101-101}{2x19x101+4x101}\)
= \(\frac{\left(29-1\right)x101}{\left(38-4\right)x101}\)
=\(\frac{28}{34}=\frac{14}{17}\)
5) \(\left(\frac{2}{7}+\frac{11}{7}+\frac{1}{7}\right)-\frac{3}{8}-\frac{5}{8}+\frac{1}{3}\)
= \(\frac{14}{7}-\frac{8}{8}+\frac{1}{3}\)
= \(2-1+\frac{1}{3}=\frac{4}{3}\)
Nhớ tk cho mình nhé
1\(\frac{423133x846267+423134}{423133x846267+423134}=1\))
\(\frac{\left(423133+1\right)x846267-423133}{423133x846267+423134}\)
=\(\frac{423133x846267+846267-423133}{423133x846267+423134}\)
= \(\frac{423133x846267+423134}{423133x846267+423134}\)
= 1
Nhớ tk cho mình nhé (các câu sau làm riêng cho đỡ dài