\(\frac{35}{27}\cdot\frac{18}{49}\) ;\(\frac{18}{25}\cdot\frac{36}{125}\)
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![](https://rs.olm.vn/images/avt/0.png?1311)
Hình như sai đề bài bạn nhé! Đề bài đúng như dưới nhé!
\(\frac{3}{4}\).\(\frac{8}{9}.\frac{15}{16}.\frac{24}{25}.\frac{35}{36}.\frac{48}{49}\)
= \(\frac{1.3}{2.2}.\frac{2.4}{3.3}.\frac{3.5}{4.4}.\frac{4.6}{5.5}.\frac{5.7}{6.6}.\frac{6.8}{7.7}\)
= \(\left(\frac{1.2.3.4.5.6}{2.3.4.5.6.7}\right).\left(\frac{3.4.5.6.7.8}{2.3.4.5.6.7}\right)\)
= \(\frac{1}{7}.\frac{8}{2}\)
= \(\frac{1}{7}.4=\frac{4}{7}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
35/27 x 18/49 = 35x18/27x49 = 630/1323 = 10/21
18/25 x 36/125 = 18x36/25x125 = 648/3125
mình ko bt đúng ko nữa nếu sai thì thông cảm nha
các bạn có cách nào mà làm mẫu số chung nhỏ nhất mà ko cần rút gọn được ko
![](https://rs.olm.vn/images/avt/0.png?1311)
\(\frac{2^2}{1.3}.\frac{3^2}{2.4}.\frac{4^2}{3.5}...\frac{50^2}{49.51}=\frac{\left(1.2.3.4...50\right)^2}{1.2.3.4...50.51}=\frac{1.2.3...50}{51}=\frac{50!}{51}\)
\(\frac{2^2}{1\cdot3}\cdot\frac{3^2}{2\cdot4}\cdot\frac{4^2}{3\cdot5}\cdot\cdot\cdot\frac{50^2}{49\cdot51}\)
\(=\frac{2^2}{1\cdot3}\cdot\frac{3^2}{2\cdot4}\cdot\frac{4^2}{3\cdot5}\cdot\frac{5^2}{4\cdot6}\cdot\frac{7^2}{5\cdot7}\cdot\cdot\cdot\frac{50^2}{49\cdot51}\)
\(=\frac{2}{1}\cdot\frac{50}{51}=\frac{100}{51}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
\(\frac{12}{18}+\frac{1}{3}+\frac{1}{7}+\frac{2}{8}+\frac{27}{36}+\frac{42}{49}\)
\(=\frac{2}{3}+\frac{1}{3}+\frac{1}{7}+\frac{1}{4}+\frac{3}{4}+\frac{6}{7}\)
\(=\left(\frac{2}{3}+\frac{1}{3}\right)+\left(\frac{1}{7}+\frac{6}{7}\right)+\left(\frac{1}{4}+\frac{3}{4}\right)\)
\(=1+1+1\)
\(=3\)
![](https://rs.olm.vn/images/avt/0.png?1311)
\(\frac{2^2}{1.3}\times\frac{3^2}{2.4}\times............................\times\frac{50^2}{49.50}\)
\(=\frac{2.2}{1.3}\times\frac{3.3}{2.4}\times....................\times\frac{50.50}{49.50}\)
\(=\frac{\left(2.3.4..............50\right)\left(2.3.4............50\right)}{\left(1.2.3.............49\right)\left(3.4.5...........50\right)}\)
\(=\frac{50}{49}.2\)
\(=\frac{100}{49}\)
\(\frac{35}{27}.\frac{18}{49}=\frac{35.18}{27.49}=\frac{630}{1323}=\frac{10}{21}\)
\(\frac{18}{25}.\frac{36}{125}=\frac{18.36}{25.125}=\frac{648}{3125}\)
\(\frac{10}{21}\);\(\frac{648}{3125}\)