rút gọn các phân số sau :
a) 123123/363363
b) 199619961996/149714971497
c) 1818181818/8181818181
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\(a,\dfrac{123123}{363363}=\dfrac{123123:3003}{363363:3003}=\dfrac{41}{121}\\ b,\dfrac{199619961996}{149714971497}=\dfrac{199619961996:100010001}{149714971497:100010001}=\dfrac{1996}{1497}=\dfrac{1996:499}{1497:499}=\dfrac{4}{3}\\ c,\dfrac{1818181818}{8181818181}=\dfrac{1818181818\times909090909}{8181818181\times909090909}=\dfrac{2}{9}\)
\(\frac{199619961996}{149714971497}=\frac{1996\times100010001}{1497\times100010001}=\frac{1996}{1497}\)
\(\frac{199619961996}{149714971497}=\frac{1996x100010001}{1497x100010001}=\frac{1996}{1497}=\frac{4}{3}\)
\(\frac{199619961996}{149714971497}=\frac{1996.100010001}{1497.100010001}=\frac{1996}{1497}=\frac{2000-4}{1500-3}=\frac{4\left(500-1\right)}{3\left(500-1\right)}=\frac{4}{3}\)
\(\frac{199619961996}{149714971497}=\frac{1996.100010001}{1497.100010001}=\frac{1996}{1497}=\frac{2000-4}{1500-3}=\frac{4\left(500-1\right)}{3\left(500-1\right)}=\frac{4}{3}\)
272727/292929=272727 : 10101/292929 : 10101
=27/29
1818181818/8181818181=1818181818 : 909090909/8181818181 : 909090909
= 2/9
CHÚC BẠN HỌC GIỎI
a) 2727=27x101
1818=18x101
nên 2727 / 1818 = 27 x 101 / 18 x 101 = 27 / 18 = 3/2 ( chia cả tử và mẫu cho 9)
b) tương tự có : 123 x 1001 / 345 x 1001 = 123 / 345 = 41 / 115 ( chia cả tử và mẫu cho 3)
\(\frac{98}{100}=\frac{49}{50}\)
\(\frac{123123}{234234}=\frac{41}{78}\)
\(\frac{20182018}{20152019}\approx1.001488635\)
a,
\(\dfrac{123123}{363363}=\dfrac{41\cdot3003}{121\cdot3003}=\dfrac{41}{121}\)
b,
\(\dfrac{199619961996}{149714971497}=\dfrac{4\cdot49904990499}{3\cdot49904990499}=\dfrac{4}{3}\)
c,
\(\dfrac{1818181818}{8181818181}=\dfrac{2\cdot909090909}{9\cdot909090909}=\dfrac{2}{9}\)
a, \(\dfrac{123123}{363363}=\dfrac{123123:1001}{363363:1001}=\dfrac{123:3}{363:3}=\dfrac{41}{121}\)
b, \(\dfrac{199619961996}{149714971497}=\dfrac{199619961996:100010001}{149714971497:100010001}\)
\(=\dfrac{1996:499}{1497:499}=\dfrac{4}{3}\)
c, \(\dfrac{1818181818}{8181818181}=\dfrac{1818181818:101010101}{8181818181:101010101}\)
\(=\dfrac{18:9}{81:9}=\dfrac{2}{9}\)
@nguyen linh ngoc