a: Các phân số tối giản là \(\dfrac{1}{3};\dfrac{4}{7};\dfrac{72}{73}\) vì ƯCLN(1;3)=1; ƯCLN(4;7)=1; ƯCLN(72;73)=1

b:

Các phân số rút gọn được là

 \(\dfrac{8}{12}=\dfrac{8:4}{12:4}=\dfrac{2}{3}\)

\(\dfrac{30}{36}=\dfrac{30:6}{36:6}=\dfrac{5}{6}\)

a) \(\dfrac{1}{4},\dfrac{6}{5},\dfrac{16}{9}\)

b) 

\(\dfrac{4}{10}=\dfrac{2}{5}\)

\(\dfrac{10}{20}=\dfrac{1}{2}\)

\(\dfrac{8}{18}=\dfrac{4}{9}\)

a)

Phân số đã tối giản: \(\dfrac{2}{3}\); \(\dfrac{5}{17}\);\(\dfrac{1}{10}\)Phân số nào chưa tối giản: \(\dfrac{9}{21}\); \(\dfrac{10}{15}\); \(\dfrac{7}{14}\) 

b) Rút gọn

\(\dfrac{21}{9}\) = \(\dfrac{7}{3}\)
\(\dfrac{10}{15}\) = \(\dfrac{2}{3}\)
\(\dfrac{7}{14}\) = \(\dfrac{1}{2}\)

a) Phân số tối giản là: \(\dfrac{2}{3};\dfrac{5}{17};\dfrac{1}{10}.\)

 Phân số chưa tối giản là: \(\dfrac{9}{21};\dfrac{10}{15};\dfrac{7}{14}\)

b)

 \(\dfrac{10}{15}=\dfrac{10:5}{15:5}=\dfrac{2}{3}\\ \dfrac{7}{14}=\dfrac{7:7}{14:7}=\dfrac{1}{2}\)

a) Các phân số tối giản là: \(\dfrac{1}{5};\dfrac{7}{6};\dfrac{9}{19}\)

b) Ba phân số tối giản là: \(\dfrac{3}{2};\dfrac{5}{6};\dfrac{4}{9}\)

Ba phân số chưa tối giản là: 

\(\dfrac{10}{18}=\dfrac{10:2}{18:2}=\dfrac{5}{9}\)

\(\dfrac{20}{50}=\dfrac{20:10}{50:10}=\dfrac{2}{5}\)

\(\dfrac{3}{12}=\dfrac{3:3}{12:3}=\dfrac{1}{4}\)

-2/3

4/7

-5/3

1/3

\(\dfrac{8}{-12}=\dfrac{-8}{12}=\dfrac{-2}{3}\)

\(\dfrac{400}{700}=\dfrac{4}{7}\)

\(\dfrac{-10}{6}=\dfrac{-5}{3}\)

\(\dfrac{-35}{-105}=\dfrac{35}{105}=\dfrac{1}{3}\)

a) \(\dfrac{2}{3};\dfrac{5}{8};\dfrac{24}{25}\)

b) \(\dfrac{10}{15};\dfrac{12}{18};\dfrac{18}{27}\)

\(\dfrac{20}{21}\)

\(\dfrac{20}{21}\)

20/21

\(B=\frac{1-\frac{1}{\sqrt{49}}+\frac{1}{49}-\frac{1}{\left(7\sqrt{7}\right)^2}}{\frac{\sqrt{64}}{2}-\frac{4}{7}+\frac{2^2}{7^2}-\frac{4}{343}}\)

\(B=\frac{1-\frac{1}{7}+\frac{1}{49}-\frac{1}{343}}{\frac{8}{2}-\frac{4}{7}+\frac{4}{49}-\frac{4}{343}}\)

\(B=\frac{\frac{343}{343}-\frac{49}{343}+\frac{7}{343}-\frac{1}{343}}{4-\frac{4}{7}+\frac{28}{343}-\frac{4}{343}}\)

\(B=\frac{\frac{300}{343}}{\frac{28}{7}-\frac{4}{7}+\frac{24}{343}}\)

\(B=\frac{\frac{300}{343}}{\frac{24}{7}+\frac{24}{343}}\)

\(B=\frac{\frac{300}{343}}{\frac{1323}{343}+\frac{24}{343}}\)

\(B=\frac{300}{343}:\frac{1347}{343}\)

\(B=\frac{100}{449}\)

\(A=\frac{2^{12}.3^5-4^6.9^2}{\left(2^2.3\right)^6+8^4.3^5}-\frac{5^{10}.7^3-25^5.49^2}{\left(125.7\right)^3+5^9.14^3}\)

\(A=\frac{2^{12}.3^5-2^{12}.3^6}{2^{12}.3^6+2^{12}.3^5}-\frac{5^{10}.7^3-5^{10}.7^6}{5^9.7^3+5^9.2^3.7^3}\)

\(A=\frac{2^{12}.3^5\left(1-3\right)}{2^{12}.3^5.\left(3+1\right)}-\frac{5^{10}.7^3.\left(1-7^3\right)}{5^9.7^3.\left(1+8\right)}\)

\(A=\frac{-2}{4}-\frac{5.\left(-342\right)}{9}\)

\(A=\frac{-1}{2}+\frac{1710}{9}\)

\(A=\frac{-1}{2}+190\)

\(A=\frac{-1}{2}+\frac{380}{2}\)

\(A=\frac{379}{2}\)

\(A=\frac{2^{12}.3^5-4^6.9^2}{\left(2^2.3\right)^3+8^4.3^5}-\frac{5^{10}.7^3-25^5.49^2}{\left(125.7\right)^3+5^9.14^3}\)

\(A=\frac{2^{12}.3^5-\left(2^2\right)^6.\left(3^2\right)^2}{\left(2^2\right)^6.3^6+\left(2^3\right)^4.3^5}-\frac{5^{10}.7^3-\left(5^2\right)^5.\left(7^2\right)^2}{\left(5^3\right)^3.7^3+5^9.\left(2.7\right)^3}\)

\(A=\frac{2^{12}.3^5-2^{12}.3^4}{2^6.3^6+2^{12}.3^5}-\frac{5^{10}.7^3-5^{10}.7^4}{5^9.7^3+5^9.2^3.7^3}\)

\(A=\frac{2^{12}\left(3^5-3^4\right)}{2^6\left(3^6-3^5\right)}-\frac{5^{10}\left(7^3-7^4\right)}{5^9\left(7^3+2^3.7^3\right)}\)

\(A=\frac{2^6\left(3^5-3^4\right)}{3^6-3^5}-\frac{5\left(7^3-7^4\right)}{7^3+2^3.7^3}\) ( \(\frac{5\left(7^3-7^4\right)}{7^3.1+2^3.7^3}=\frac{5\left(7^3-7^4\right)}{7^3\left(1+2^3\right)}\))

\(A=\frac{2^6\left(3^5-3^4\right)}{3^6-3^5}-\frac{5\left(7^3-7^4\right)}{7^3\left(1+2^3\right)}\)

\(A=\frac{2^6.162}{486}-\frac{5.\left(-2058\right)}{7^3.9}\)

\(\Rightarrow A=\frac{648}{486}-\frac{-12540}{3087}\)

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