Rút gọn các phân số sau:
98/100, 123123/234234, 20182018/20152019
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\(\frac{6767}{8484}=\frac{67}{84}\)
\(\frac{234234}{456456}=\frac{234}{456}=\frac{39}{76}\)
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)
\(\frac{1212}{3030}=\frac{2}{5}\)
\(\frac{32032}{48048}=\frac{2}{3}\)
\(\frac{456456}{234234}=\frac{76}{39}\)
\(\frac{1339}{1442}=\frac{13}{14}\)
#Châu's ngốc
\(\dfrac{6}{9}\) = \(\dfrac{6:3}{9:3}\) = \(\dfrac{2}{3}\) \(\dfrac{24}{36}\) = \(\dfrac{24:12}{36:12}\) = \(\dfrac{2}{3}\)
\(\dfrac{80}{240}\) = \(\dfrac{80:80}{240:80}\) = \(\dfrac{1}{3}\) \(\dfrac{75}{100}\) = \(\dfrac{75:25}{100:25}\) = \(\dfrac{3}{4}\)
\(\dfrac{123123}{103103}\) = \(\dfrac{123123:1001}{103013:1001}\) = \(\dfrac{123}{103}\)
\(\dfrac{2121}{3232}\) = \(\dfrac{2121:101}{3232:101}\) = \(\dfrac{21}{32}\)
Bài 2:
a: \(\dfrac{1}{4};\dfrac{2}{5}\)
\(\dfrac{1}{4}=\dfrac{1\cdot5}{4\cdot5}=\dfrac{5}{20}\)
\(\dfrac{2}{5}=\dfrac{2\cdot4}{5\cdot4}=\dfrac{8}{20}\)
\(\dfrac{2}{3};\dfrac{7}{8}\)
\(\dfrac{2}{3}=\dfrac{2\cdot8}{3\cdot8}=\dfrac{16}{24}\)
\(\dfrac{7}{8}=\dfrac{7\cdot3}{8\cdot3}=\dfrac{21}{24}\)
\(\dfrac{3}{4};\dfrac{5}{6}\)
\(\dfrac{3}{4}=\dfrac{3\cdot3}{4\cdot3}=\dfrac{9}{12}\)
\(\dfrac{5}{6}=\dfrac{5\cdot2}{6\cdot2}=\dfrac{10}{12}\)
b: \(\dfrac{1}{3};\dfrac{7}{9}\)
\(\dfrac{1}{3}=\dfrac{1\cdot3}{3\cdot3}=\dfrac{3}{9}\)
\(\dfrac{7}{9}=\dfrac{7\cdot1}{9\cdot1}=\dfrac{7}{9}\)
\(\dfrac{3}{4};\dfrac{9}{24}\)
\(\dfrac{3}{4}=\dfrac{3\cdot6}{4\cdot6}=\dfrac{18}{24}\)
\(\dfrac{9}{24}=\dfrac{9\cdot1}{24\cdot1}=\dfrac{9}{24}\)
\(\dfrac{7}{10};\dfrac{19}{30}\)
\(\dfrac{7}{10}=\dfrac{7\cdot3}{10\cdot3}=\dfrac{21}{30}\)
\(\dfrac{19}{30}=\dfrac{19\cdot1}{30\cdot1}=\dfrac{19}{30}\)
Bài 1:
\(\dfrac{36}{108}=\dfrac{36:36}{108:36}=\dfrac{1}{3}\)
\(\dfrac{28}{30}=\dfrac{28:2}{30:2}=\dfrac{14}{15}\)
\(\dfrac{42}{98}=\dfrac{42:14}{98:14}=\dfrac{3}{7}\)
\(\dfrac{15}{120}=\dfrac{15:15}{120:15}=\dfrac{1}{8}\)
\(\dfrac{84}{364}=\dfrac{84:28}{364:28}=\dfrac{3}{13}\)
\(\dfrac{120}{100}=\dfrac{120:20}{100:20}=\dfrac{6}{5}\)
\(\dfrac{418}{38}=\dfrac{418:38}{38:38}=\dfrac{11}{1}=11\)
\(\dfrac{96}{1056}=\dfrac{96:96}{1056:96}=\dfrac{1}{11}\)
\(\dfrac{3838}{4040}=\dfrac{3838:101}{4040:101}=\dfrac{38}{40}=\dfrac{38:2}{40:2}=\dfrac{19}{20}\)
\(\dfrac{119119}{123123}=\dfrac{119119:1001}{123123:1001}=\dfrac{119}{123}\)
A:\(\frac{1919}{7373}=\frac{1919:101}{7373:101}=\frac{19}{73}\)
\(\frac{454545}{818181}=\frac{454545:10101}{818181:10101}=\frac{45}{81}=\frac{5}{9}\)
\(\frac{234234}{361361}=\frac{234234:1001}{361361:1001}=\frac{234}{361}\)
B: \(\frac{17}{18}=\frac{1}{2}+\frac{1}{3}+\frac{1}{9}\)
\(\frac{98}{100}=\frac{49}{50}\)
\(\frac{123123}{234234}=\frac{41}{78}\)
\(\frac{20182018}{20152019}\approx1.001488635\)
Thanhk you