2032 x 2/3 + 1212/3636
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y - 27/54 - 1212/3636 = 1/6
y - 1/2 - 1/3 = 1/6
y = 1/6 + 1/2 + 1/3
y = 1
\(A=\frac{121212}{363636}+\frac{1212}{3636}\)
\(=\frac{1}{3}+\frac{1}{3}=\frac{2}{3}\)
\(\frac{121212+12121212-1212}{363636-36363636-3636}=\frac{12\left(111111+11111111-1111\right)}{36\left(111111+11111111-1111\right)}=\frac{12}{36}=\frac{1}{3}\)
1 tính nhanh: a/ [ 2727/ 3636 + 1212/5454 ] x 9/10 = (3/4 + 2/9) x 9/10
= 3/4 x 9/10 + 2/9 x 9/10
= 27/40 + 1/5
= 27/40 + 8/40
= 7/8
\(\frac{121212+12121212-1212}{363636+36363636-3636}\)
\(=\frac{12.10101+12.1010101-12.101}{36.10101+36.1010101-36.101}\)
\(=\frac{12\left(10101+1010101-101\right)}{36\left(10101+1010101-101\right)}\)
\(=\frac{12}{12.3}\)
\(=\frac{1}{3}\)
Ta có: \(\frac{121212+12121212-1212}{363636+36363636-3636}\)
=\(\frac{12\times\left(10101+1010101-101\right)}{36\times\left(10101+1010101-101\right)}\)
=\(\frac{12}{36}\)
=\(\frac{1}{3}\)
a) 7.3x8.3+3.8x7.3-5x7.3x0.4
=7.3x(8.3+3.8-5x0.4)
=7.3x10.1
=73.73
b)\(\frac{1}{10}:0.1-\frac{1}{8}:0.125+\frac{1}{2}:0.5-\frac{1}{4}:0.25\)
=1-1+1-1=0
c)\(\left(\frac{2727}{3636}+\frac{1212}{5454}\right)\times\left(\frac{9}{70}\right)=\left(\frac{3}{4}+\frac{2}{9}\right)\times\left(\frac{9}{70}\right)\)
=\(\frac{35}{36}\times\frac{9}{70}\)=\(\frac{1}{8}\)
d) 120x999+\(\frac{120}{5\times2.5\times125\times4\times0.8}\)
=120x999+\(\frac{120}{5000}\)
=120x999+\(\frac{3}{125}\)
=119880.024
\(1,\frac{1212}{1515}+\frac{1212}{3535}+\frac{1212}{6363}+\frac{1212}{9999}=\frac{12}{15}+\frac{12}{35}+\frac{12}{63}+\frac{12}{99}=6\left(\frac{2}{15}+\frac{2}{35}+\frac{2}{63}+\frac{2}{99}\right)=6\left(\frac{2}{3.5}+\frac{2}{5.7}+\frac{2}{7.9}+\frac{2}{9.11}\right).Tacocongthuc:\frac{1}{n}-\frac{1}{n+k}=\frac{k}{n\left(n+k\right)}\Rightarrow\frac{1212}{1515}+\frac{1212}{3535}+\frac{1212}{6363}+\frac{1212}{9999}=6\left(\frac{1}{3}-\frac{1}{5}+\frac{1}{5}-.....-\frac{1}{11}\right)=6\left(\frac{1}{3}-\frac{1}{11}\right)=\frac{48}{33}=\frac{16}{11}\)
\(2,\left(x+1\right)+\left(x+2\right)+.....+\left(x+211\right)=211x+\left(1+2+....+211\right)=211x+\frac{212.211}{2}=211x+22366=23632\Leftrightarrow211x=23632-22366=1266\Leftrightarrow x=6\)
a, \(14:\left(4\frac{2}{3}:1\frac{5}{9}\right)+14:\left(\frac{2}{3}+\frac{8}{9}\right)\)
=> \(14:\frac{28}{9}+14:\frac{14}{9}=>14.\frac{9}{28}+14.\frac{9}{14}\)
=> 14. ( \(\frac{9}{28}+\frac{9}{14}\) )
=> \(14.\frac{27}{28}=\frac{419}{28}\)
b, \(\frac{1212}{1515}+\frac{1212}{3535}+\frac{1212}{6363}+\frac{1212}{9999}\)
=> \(\frac{4}{5}+\frac{12}{35}+\frac{4}{21}+\frac{4}{33}\)
=> \(\frac{8}{7}+\frac{24}{77}=\frac{16}{11}\)
bài 2 :
( x + 1 ) + ( x + 2 ) + ... + ( x + 211 ) = 23632
=> ( x + x + x + ... + x ) + ( 1 + 2 + 3 + ... + 211 ) = 23632
=> 211x + 22366 = 23632
=> 211x = 23632 - 22366
=> 211x = 1266
=> x = 1266 : 211
x = 6
1355 nha bạn