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a) \(\frac{28}{36}=\frac{7}{9}\)
b)\(-\frac{63}{90}=-\frac{7}{10}\)
c)\(\frac{40}{-120}=-\frac{1}{3}\)
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Rút gọn :
\(\frac{-63}{81}=\frac{-7\cdot9}{9\cdot9}=\frac{-7}{9}\)
\(\frac{-5\cdot6}{9\cdot35}=\frac{-5\cdot2\cdot3}{3\cdot3\cdot5\cdot7}=\frac{-2}{3\cdot7}=\frac{-2}{21}\)
\(\frac{7\cdot2+8}{2\cdot14\cdot5}=\frac{14+8}{2\cdot2\cdot7\cdot5}=\frac{22}{2\cdot2\cdot7\cdot5}=\frac{2\cdot11}{2\cdot2\cdot7\cdot5}=\frac{11}{2\cdot7\cdot5}=\frac{11}{70}\)
\(\frac{-63}{81}=\frac{-7}{9}\)
\(\frac{-5.6}{9.35}=\frac{-5.2.3}{3.3..5.7}=\frac{-2}{3.7}=\frac{-2}{21}\)
\(\frac{7.2+8}{2.14.5}=\frac{22}{2.2.7.5}=\frac{2.11}{2.2.7.5}=\frac{11}{70}\)
a/ \(-\frac{81}{504}=-\frac{9}{56};-\frac{10101}{101010}=\frac{-1}{10}\)
b/ \(\frac{72\cdot5+72\cdot3}{144\cdot2+144\cdot6}=\frac{72\left(5+3\right)}{144\left(2+6\right)}=\frac{8}{2\cdot8}=\frac{1}{2}\)
\(\frac{-81}{504}=-\frac{81:9}{504:9}=-\frac{9}{56}\)
\(\frac{-10101}{101010}=\frac{-10101:10101}{101010:10101}=\frac{-1}{10}\)
\(\frac{72.5+72.3}{144.2+144.6}=\frac{72.\left(5+3\right)}{144\left(2+6\right)}=\frac{72.8}{144.8}=\frac{72.8}{72.2.8}=\frac{1}{2}\)
a)\(\frac{25-7.25}{6.15}\)
\(=\frac{25.\left(1-7\right)}{6.15}\)
\(=\frac{25.\left(-6\right)}{6.15}\)
\(=\frac{5.\left(-1\right)}{1.3}\)
\(=\frac{-5}{3}\)
b)\(\frac{15.11-15}{25.\left(-10\right)}\)
\(=\frac{15.\left(11-1\right)}{25.\left(-10\right)}\)
\(=\frac{15.10}{25.\left(-10\right)}\)
\(=\frac{3.1}{5.\left(-1\right)}\)
\(=\frac{-3}{5}\)
a) Ta có :
990 = 2.32.5.11
2610=2.32.5.29
ƯCLN(990;2610) = 2.32.5=90
\(\Rightarrow\frac{990}{2610}=\frac{990:90}{2610:90}=\frac{11}{29}\)
Tương tự với câu b)
\(a,\frac{990}{2610}=\frac{990:90}{2610:90}=\frac{11}{29}\)
\(b,\frac{374}{506}=\frac{374:2}{506:2}=\frac{187}{253}=\frac{187:11}{253:11}=\frac{17}{23}\)
\(c,\frac{3600-75}{8400-175}=\frac{3525}{8225}=\frac{3525:25}{8225:25}=\frac{141}{329}\)
\(d,\frac{9^{14}.25^5.8^7}{18^{12}.625^3.24^3}=\frac{9^{12}.9^2.25^3.25^2.8^3.8^4}{\left(9.2\right)^{12}.\left(25.25\right)^3.\left(8.3\right)^3}=\frac{9^{12}.9^2.25^3.25^2.8^3.8^3.8}{9^{12}.2^{12}.25^3.25^2.25.8^3.3^3}=\frac{9^2.8}{2^{12}.25.3^3}\) đến đây bn tự làm nốt đi!
~ mỏi ~
a) \(\frac{\left(-63\right)}{81}=\frac{\left(-63\right):9}{81:9}=\frac{-7}{9}\)
b) \(\frac{-25}{-75}=\frac{\left(-25\right):25}{\left(-75\right):25}=\frac{-1}{-3}=\frac{1}{3}\)
\(a.\frac{-63}{81}=\frac{-7}{9}\)
\(b.\frac{-25}{-75}=\frac{1}{3}\)