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\(\frac{-35}{280}=\frac{\left(-35\right):35}{280:35}=\frac{-1}{8}\)
\(\frac{24}{72}=\frac{24:24}{72:24}=\frac{1}{3}\)
\(\frac{15}{-105}=\frac{-15}{105}=\frac{\left(-15\right):15}{105:15}=\frac{-1}{7}\)
\(\frac{36}{240}=\frac{36:12}{240:12}=\frac{3}{20}\)
\(\frac{125}{1000}=\frac{125:125}{1000:125}=\frac{1}{8}\)
\(\frac{198}{126}=\frac{198:18}{126:18}=\frac{11}{7}\)
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4116 - 14/ 10290 - 35
= 4102/10255
= 4102 : 2051/10255 : 2051
= 2/5
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\(a,\frac{6\cdot9-2\cdot18}{53\cdot3-126}=\frac{2\cdot3\cdot3\cdot3-2\cdot3\cdot3\cdot2}{53\cdot3-53\cdot2}\)
\(=\frac{2\cdot3^3-2^2\cdot3^2}{53\cdot3-53\cdot2}=\frac{2\cdot3^2\cdot\left(3-2\right)}{53\cdot\left(3-2\right)}\)
\(=\frac{2\cdot9}{53}=\frac{18}{53}\)
\(b,\frac{21\cdot17-5\cdot17}{19\cdot20-40}=\frac{21\cdot17-5\cdot17}{19\cdot20-2\cdot20}\)
\(=\frac{17\left(21-5\right)}{20\cdot\left(19-2\right)}=\frac{17\cdot16}{20\cdot17}\)
\(=\frac{16}{20}=\frac{4}{5}\)
a, \(\frac{6.9-2.18}{53.3-126}=\frac{2.3.3.3-2.3.3.2}{53.3-53.2}\)
\(=\frac{2.3^3-2^2.3^2}{53.3-53.2}=\frac{2.3^2.\left(3-2\right)}{53.\left(3-2\right)}\)
\(=\frac{2.9}{53}=\frac{18}{53}\)
b, \(\frac{21.17-6.17}{19.20-40}=\frac{21.17-6.17}{19.20-2.20}\)
\(=\frac{17\left(21-6\right)}{20\left(19-2\right)}=\frac{17.15}{20.17}\)
\(=\frac{15}{20}=\frac{3}{4}\)
Study well ! >_<
=-5/18
\(=\frac{-5}{18}\)