những phân số nào sau đây bằng nhau
A.\(\dfrac{3}{5}\)và \(\dfrac{9}{15}\) B.\(\dfrac{3}{5}\)và\(\dfrac{8}{15}\) C.\(\dfrac{3}{5}\)và\(\dfrac{9}{25}\) D.\(\dfrac{2}{5}\)và\(\dfrac{9}{15}\)
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![](https://rs.olm.vn/images/avt/0.png?1311)
\(\dfrac{3}{5}và\dfrac{15}{25}và\dfrac{21}{35};\dfrac{5}{8}và\dfrac{20}{32}\)
\(\dfrac{3}{5}=\dfrac{9}{15}=\dfrac{15}{25}=\dfrac{21}{35}\\ \dfrac{5}{8}=\dfrac{20}{32}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
a. Ta có : \(\dfrac{{ - 3}}{5} = \dfrac{9}{{ - 15}}\) vì (-3).(-15)=5.9 (=45)
b. Ta có : \(\dfrac{{ - 1}}{{ - 4}} = \dfrac{1}{4}\) vì (-1).4=(-4).1 (=-4)
![](https://rs.olm.vn/images/avt/0.png?1311)
Bài 1:
a)
\(\dfrac{1}{2}=\dfrac{1\times6}{2\times6}=\dfrac{6}{12}\)
\(\dfrac{2}{3}=\dfrac{2\times4}{3\times4}=\dfrac{8}{12}\)
\(\dfrac{3}{4}=\dfrac{3\times3}{4\times3}=\dfrac{9}{12}\)
b)
\(\dfrac{1}{3}=\dfrac{1\times15}{3\times15}=\dfrac{15}{45}\)
\(\dfrac{2}{15}=\dfrac{2\times3}{15\times3}=\dfrac{6}{45}\)
\(\dfrac{4}{45}\) (giữ nguyên)
c)
\(\dfrac{1}{8}=\dfrac{1\times3}{8\times3}=\dfrac{3}{24}\)
\(\dfrac{2}{3}=\dfrac{2\times8}{3\times8}=\dfrac{16}{24}\)
\(\dfrac{5}{2}=\dfrac{5\times12}{2\times12}=\dfrac{60}{24}\)
d)
\(\dfrac{2}{7}=\dfrac{2\times4}{7\times4}=\dfrac{8}{28}\)
\(\dfrac{9}{4}=\dfrac{9\times7}{4\times7}=\dfrac{63}{28}\)
\(\dfrac{5}{28}\) (giữ nguyên)
Bài 2:
a)
\(4=\dfrac{4}{1}=\dfrac{4\times12}{1\times12}=\dfrac{48}{12}\)
\(\dfrac{9}{4}=\dfrac{9\times3}{4\times3}=\dfrac{27}{12}\)
b)
\(\dfrac{5}{8}=\dfrac{5\times30}{8\times30}=\dfrac{150}{240}\)
\(\dfrac{25}{30}=\dfrac{5}{6}=\dfrac{5\times40}{6\times40}=\dfrac{200}{240}\)
\(2=\dfrac{2}{1}=\dfrac{2\times240}{1\times240}=\dfrac{480}{240}\).
![](https://rs.olm.vn/images/avt/0.png?1311)
Số đối của mỗi phân số:
\(\dfrac{9}{25}\Rightarrow-\dfrac{9}{25}\)
\(-\dfrac{8}{27}\Rightarrow\dfrac{8}{27}\)
\(-\dfrac{15}{31}\Rightarrow\dfrac{15}{31}\)
\(\dfrac{-3}{-5}\Rightarrow\dfrac{-3}{5}\)
\(\dfrac{5}{-6}\Rightarrow\dfrac{5}{6}\)
Số đối của mỗi phân số là:
\(\dfrac{9}{25}=\dfrac{-9}{25}\)
\(\dfrac{-8}{27}=\dfrac{8}{27}\)
\(\dfrac{-15}{31}=\dfrac{15}{31}\)
\(\dfrac{-3}{-5}=\dfrac{-3}{5}\)
\(\dfrac{5}{-6}=\dfrac{5}{6}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
1: B là số nguyên
=>n-3 thuộc {1;-1;5;-5}
=>n thuộc {4;2;8;-2}
3:
a: -72/90=-4/5
b: 25*11/22*35
\(=\dfrac{25}{35}\cdot\dfrac{11}{22}=\dfrac{5}{7}\cdot\dfrac{1}{2}=\dfrac{5}{14}\)
c: \(\dfrac{6\cdot9-2\cdot17}{63\cdot3-119}=\dfrac{54-34}{189-119}=\dfrac{20}{70}=\dfrac{2}{7}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
\(\dfrac{25}{30}=\dfrac{5}{6}\)
\(\dfrac{9}{15}=\dfrac{3}{5}\)
\(\dfrac{10}{12}=\dfrac{5}{6}\)
\(\dfrac{6}{10}=\dfrac{3}{5}\)
Bạn nhìn theo phần rút gọn tui gửi mà so sánh các phân số khác nhek
![](https://rs.olm.vn/images/avt/0.png?1311)
a, \(\dfrac{3}{4}\) = \(\dfrac{3\times5}{4\times5}\) = \(\dfrac{15}{20}\) \(\dfrac{5}{7}\) = \(\dfrac{5\times3}{7\times3}\) = \(\dfrac{15}{21}\)
Vì \(\dfrac{15}{20}\) > \(\dfrac{15}{21}\) nên \(\dfrac{3}{4}\) > \(\dfrac{5}{7}\)
b, \(\dfrac{2}{7}\) = \(\dfrac{2\times2}{7\times2}\) = \(\dfrac{4}{14}\) < \(\dfrac{4}{9}\)
Vậy \(\dfrac{2}{7}\) < \(\dfrac{4}{9}\)
c, \(\dfrac{5}{8}\) < 1 < \(\dfrac{8}{5}\)
Vậy \(\dfrac{5}{8}\) < \(\dfrac{8}{5}\)
A
A