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9 tháng 3 2021

\(\dfrac{15\cdot50}{25\cdot3\cdot20}\\ =\dfrac{15\cdot50}{5^2\cdot3\cdot2\cdot10}\\ =\dfrac{15\cdot50}{\left(5\cdot10\right)\cdot\left(5\cdot3\right)\cdot2}=\dfrac{15\cdot50}{50\cdot15\cdot2}=\dfrac{1}{2}\)

\(\dfrac{15.50}{25.3.20}\)\(\dfrac{5.2}{1.1.20}\)\(\dfrac{1.2}{1.4}\)=\(\dfrac{1.1}{1.2}=\dfrac{1}{2}\)

\(3;\dfrac{-1}{5};\dfrac{-1}{3}\)

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

\(\dfrac{7}{-35}=\dfrac{1}{-5}\)

\(\dfrac{-9}{27}=\dfrac{-1}{3}\)

HQ
Hà Quang Minh
Giáo viên
3 tháng 10 2023

\(\dfrac{{ - 12}}{{ - 4}} = \dfrac{{ - 12:\left( { - 4} \right)}}{{\left( { - 4} \right):\left( { - 4} \right)}} = 3\)

\(\dfrac{7}{{ - 35}} = \dfrac{{7:\left( { - 7} \right)}}{{ - 35:\left( { - 7} \right)}} = \dfrac{{ - 1}}{5}\)

\(\dfrac{{ - 9}}{{27}} = \dfrac{{ - 9:9}}{{27:9}} = \dfrac{{ - 1}}{3}\)

\(\dfrac{60}{72}=\dfrac{60:12}{72:12}=\dfrac{5}{6}\\ \dfrac{70}{95}=\dfrac{70:5}{95:5}=\dfrac{14}{19}\\ \dfrac{150}{360}=\dfrac{150:30}{360:30}=\dfrac{5}{12}\)

1 tháng 4 2021

\(\dfrac{60}{72}=\dfrac{5}{6}\)

\(\dfrac{70}{95}=\dfrac{14}{19}\)

\(\dfrac{150}{360}=\dfrac{5}{12}\)

27 tháng 4 2021

\(\dfrac{14}{21}=\dfrac{7\cdot2}{7\cdot3}=\dfrac{2}{3}\)

\(\dfrac{-36}{48}=\dfrac{-12\cdot3}{12\cdot4}=-\dfrac{3}{4}\)

\(\dfrac{28}{-52}=\dfrac{7\cdot4}{-4\cdot13}=-\dfrac{7}{13}\)

\(\dfrac{-54}{-90}=\dfrac{-18\cdot3}{-18\cdot5}=\dfrac{3}{5}\)

\(\dfrac{14}{21}\) =\(\dfrac{2}{3}\)

\(\dfrac{-36}{48}\) =\(\dfrac{3}{4}\)

\(\dfrac{28}{-52}\)=\(\dfrac{7}{-13}\)

\(\dfrac{-54}{-90}\) =\(\dfrac{6}{9}=\dfrac{2}{3}\)

9 tháng 3 2021

\(\dfrac{21\cdot9}{7\cdot6-7\cdot3}\\ =\dfrac{21\cdot9}{7\cdot\left(6-3\right)}\\ =\dfrac{21\cdot9}{7\cdot3}\\ =\dfrac{21\cdot9}{21}=9\)

17 tháng 3 2022

-2/3

4/7

-5/3

1/3

17 tháng 3 2022

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

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

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

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

22 tháng 12 2023

a, \(\dfrac{2023-2023.6}{2023.15}=\dfrac{2023.\left(1-6\right)}{2023.15}=-\dfrac{5}{15}=\dfrac{-1}{3}\)

b, \(\dfrac{2025.25+2025.75}{100.7}=\dfrac{2025.\left(25+75\right)}{100.7}==\dfrac{2025.100}{100.7}=\dfrac{2025}{7}\)

c, \(\dfrac{1000000}{2025}=\dfrac{1000000:25}{2025:25}=\dfrac{40000}{81}\)

26 tháng 6 2023

a) \(\dfrac{8,5-8,2}{16}=\dfrac{0,3}{16}=\dfrac{0,3\cdot10}{16\cdot10}=\dfrac{3}{160}\)

b) \(\dfrac{17\cdot5-17}{3-20}=\dfrac{17\cdot\left(5-1\right)}{-17}=\dfrac{1\cdot4}{-1}=-4\)

26 tháng 6 2023

a)

\(\dfrac{8\cdot5-8\cdot2}{16}=\dfrac{8\left(5-2\right)}{16}=\dfrac{3}{2}\)

b)

\(\dfrac{17\cdot5-17}{3-20}=\dfrac{17\left(5-1\right)}{-17}=\dfrac{4}{-1}=-4\)

10 tháng 8 2023

Bài 1:

a) \(a=2\cdot3\cdot5\cdot43\)

\(b=7200=2^5\cdot3^2\cdot5^2\)

\(c-4680=2^3\cdot3^2\cdot5\cdot13\)

b) \(\dfrac{8440}{5910}=\dfrac{8440:10}{5910:10}=\dfrac{844}{591}\)

\(\dfrac{1245}{3450}=\dfrac{1245:15}{3450:15}=\dfrac{83}{230}\)

10 tháng 8 2023

Bài 2:

a) Ước nguyên tố của 140 là:

\(ƯNT\left(140\right)=\left\{2;5;7\right\}\)

Ước nguyên tố của 138 là:
\(ƯNT\left(138\right)=\left\{3;23;2\right\}\)

b) \(A=\dfrac{2^{10}+4^6}{8^4}\)

\(A=\dfrac{2^{10}+2^{12}}{2^{12}}\)

\(A=\dfrac{2^{10}\cdot\left(1+2^2\right)}{2^{12}}\)

\(A=\dfrac{1+4}{2^2}\)

\(A=\dfrac{5}{4}\)

\(B=\dfrac{6^{10}+15\cdot2^{10}\cdot3^9}{12\cdot8^3\cdot27^3}\)

\(B=\dfrac{2^{10}\cdot3^{10}+5\cdot2^{10}\cdot3^{10}}{2^{11}\cdot3^{10}}\)

\(B=\dfrac{2^{10}\cdot3^{10}\cdot\left(1+5\right)}{2^{11}\cdot3^{10}}\)

\(B=\dfrac{1+5}{2}\)

\(B=3\)