Rút gọn các phân số sau:
- 25 - 75
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\(a.\dfrac{5}{10}=\dfrac{1}{2}=\dfrac{1\times3}{2\times3}=\dfrac{3}{6}\)
\(\dfrac{25}{75}=\dfrac{1}{3}=\dfrac{1\times2}{3\times2}=\dfrac{2}{6}\)
\(b.\dfrac{42}{56}=\dfrac{3}{4}=\dfrac{3\times2}{4\times2}=\dfrac{6}{8}\)
\(\dfrac{18}{48}=\dfrac{3}{8}\)
\(c.\dfrac{27}{81}=\dfrac{1}{3}=\dfrac{1\times4}{3\times4}=\dfrac{4}{12}\)
\(\dfrac{57}{76}=\dfrac{3}{4}=\dfrac{3\times3}{4\times3}=\dfrac{9}{12}\)
\(\dfrac{35}{84}=\dfrac{5}{12}\)
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\(\dfrac{121\times75\times130\times169}{39\times60\times11\times198}\)
\(=\dfrac{25\times169}{6\times18}\)
\(=\dfrac{4225}{108}\)
\(\dfrac{24}{32}=\dfrac{24:8}{32:8}=\dfrac{3}{4}\)
\(\dfrac{45}{6}=\dfrac{45:3}{6:3}=\dfrac{15}{2}\)
\(\dfrac{75}{100}=\dfrac{75:25}{100:25}=\dfrac{3}{4}\)
\(\dfrac{27}{63}=\dfrac{27:9}{63:9}=\dfrac{3}{7}\)
\(\dfrac{24}{32}=\dfrac{24:8}{32:8}=\dfrac{3}{4}\)
\(\dfrac{75}{100}=\dfrac{75:25}{100:25}=\dfrac{3}{4}\)
\(\dfrac{45}{60}=\dfrac{45:15}{60:15}=\dfrac{3}{4}\)
\(\dfrac{27}{63}=\dfrac{27:9}{63:9}=\dfrac{3}{7}\)
1) \(\dfrac{5}{10}=\dfrac{5:5}{10:5}=\dfrac{1}{2}\)
\(\dfrac{-18}{-27}=\dfrac{-18:\left(-9\right)}{-27:\left(-9\right)}=\dfrac{2}{3}\)
\(\dfrac{-42}{105}=\dfrac{-42:21}{105:21}=\dfrac{-2}{5}\)
\(\dfrac{75}{-135}=\dfrac{75:\left(-15\right)}{-135:\left(-15\right)}=\dfrac{-5}{9}\)
\(\dfrac5{10}=\dfrac{5.1}{5.2}=\dfrac12\\\dfrac{-18}{-27}=\dfrac{(-9).2}{(-9).3}=\dfrac23\\\dfrac{-42}{105}=\dfrac{21.(-2)}{21.5}=\dfrac{-2}5\\\dfrac{75}{-135}=\dfrac{(-15).(-5)}{(-15).9}=\dfrac{-5}9\)
Hướng dẫn: Chia cả tử và mẫu cho UCLN của chúng:
ƯCLN(-25 ,-75) = 25. Do đó: