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ta co:
\(\frac{11.12+22.24+44.48}{33.36+66.72+132.144}\)
\(=\frac{11.12+11.2.12.2+11.4.12.4}{33.36+33.2.36.2+33.4.36.4}\)
\(=\frac{11.12.\left(1+2.2+4.4\right)}{33.36.\left(1+2.2+4.4\right)}\)
\(=\frac{11.12}{36.33}\)
\(=\frac{1}{3.3}\)
\(=\frac{1}{9}\)
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![](https://rs.olm.vn/images/avt/0.png?1311)
\(\frac{11.12+33.36+55.60}{22.24+66.72+110.120}=\frac{11.12+33.36+55.60}{2.11.2.12+2.33.2.36+2.55.2.60}=\frac{11.12+33.36+55.60}{4.11.12+4.33.36+4.55.60}=\frac{11.12+33.36+55.60}{4.\left(11.12+33.36+55.60\right)}=\frac{1}{4.1}=\frac{1}{4}\)
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11 . 12 + 33 . 36 + 55 . 60
= 11 . 12 + 11 . 3 . 12 . 3 + 11 . 5 . 12 . 5
= (11 + 12) . 1 . (11 + 12) . 3 . (11 + 12) . 5
= 23 . 1 . 23 . 3 . 23 . 5
= 23 . (1 + 3 + 5)
= 23 . 9
= 207
\(11\cdot12+33\cdot36+55\cdot60\)
\(=11\cdot12+3\cdot11\cdot3\cdot12+5\cdot11\cdot5\cdot12\)
\(=11\cdot12\left(1+9+25\right)\)
\(=132\cdot35\)
\(=4620\)
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\(\frac{2727-101}{7575+303}\)= \(\frac{2626}{7878}\)= \(\frac{2626:2626}{7878:2626}\)= \(\frac{1}{3}\)