Rút gọn phân số 45×36×9/9×6×3
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![](https://rs.olm.vn/images/avt/0.png?1311)
`6/10=3/5`
`70/9=70/9`
`96/72=4/3`
`45/35=9/7`
`24/36=2/3`
`25/100=1/4`
6/10=(6:2)/(10:2)=3/5
70/970/9 ( tối giản)
96/72=(96:24)/972:24)=4/396/72=(96:24)/972:24)=4/3
45/35=(45:5)/(35:5)=9/745/35=(45:5)/(35:5)=9/7
24/36=(24:12)/(36:12)=2/324/36=(24:12)/(36:12)=2/3
25/100=(25:25)/(100:25)=1/425/100=(25:25)/(100:25)=1/4
![](https://rs.olm.vn/images/avt/0.png?1311)
Tham khảo :
(Tại mik lười ko mún ghi nên bạn tham khảo cái ảnh này nhá)
![](https://rs.olm.vn/images/avt/0.png?1311)
\(\frac{3^6.45^4-3^{10}.45^3}{3^{10}.9.25^3+3^6.45^6}=\frac{3^6.\left(3^2.5\right)^4-3^{10}.\left(3^2.5\right)^3}{3^{10}.3^2.\left(5^2\right)^3+3^6.\left(3^2.5\right)^6}\)
\(=\frac{3^6.3^8.5^4-3^{10}.3^6.5^3}{3^{12}.5^6+3^6.3^{12}.5^6}=\frac{3^{14}.5^4-3^{16}.5^3}{3^{12}.5^6+3^{18}.5^6}\)
\(=\frac{3^{14}.5^3.\left(5-3^2\right)}{3^{12}.5^6.\left(1+3^6\right)}=\frac{3^2.\left(-4\right)}{5^3.730}=\frac{-18}{45625}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
\(\dfrac{6}{9}\) = \(\dfrac{6:3}{9:3}\) = \(\dfrac{2}{3}\) \(\dfrac{24}{36}\) = \(\dfrac{24:12}{36:12}\) = \(\dfrac{2}{3}\)
\(\dfrac{80}{240}\) = \(\dfrac{80:80}{240:80}\) = \(\dfrac{1}{3}\) \(\dfrac{75}{100}\) = \(\dfrac{75:25}{100:25}\) = \(\dfrac{3}{4}\)
\(\dfrac{123123}{103103}\) = \(\dfrac{123123:1001}{103013:1001}\) = \(\dfrac{123}{103}\)
\(\dfrac{2121}{3232}\) = \(\dfrac{2121:101}{3232:101}\) = \(\dfrac{21}{32}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
a) Ta có: \(\dfrac{7\cdot25}{14\cdot10}\)
\(=\dfrac{7\cdot5\cdot5}{7\cdot2\cdot2\cdot5}\)
\(=\dfrac{5}{4}\)
b) Ta có: \(\dfrac{24\cdot15-14\cdot9}{36\cdot12}\)
\(=\dfrac{9\cdot8\cdot5-14\cdot9}{36\cdot12}\)
\(=\dfrac{9\cdot\left(8\cdot5-14\right)}{9\cdot4\cdot12}\)
\(=\dfrac{40-14}{4\cdot12}\)
\(=\dfrac{13}{24}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
\(a,\\ =\dfrac{5}{4}-\dfrac{3}{4}=\dfrac{2}{4}=\dfrac{1}{2}\\ b,\\ =\dfrac{2}{3}-\dfrac{2}{5}=\dfrac{10-6}{15}=\dfrac{4}{15}\\ c,\\ =\dfrac{5}{6}-\dfrac{1}{4}=\dfrac{20-6}{24}=\dfrac{14}{24}=\dfrac{7}{12}\\ d,\\ =\dfrac{4}{3}-\dfrac{1}{4}=\dfrac{12-3}{12}=\dfrac{9}{12}=\dfrac{3}{4}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
![](https://rs.olm.vn/images/avt/0.png?1311)
Bài 1:
a: 6/9=2/3
6/24=1/4
48/96=1/2
42/98=3/7
b: 24/36=2/3
18/30=3/5
15/120=1/8
80/240=1/3
c: 5/25=1/5
75/100=3/4
64/720=4/45
16/1000=2/125
Bài 2:
Các phân số bằng 2/3 là 34/51; 20/30; 84/126
Bài 1 :
a) 6/9 = 2/3 ; 6/24 = 1/4 ; 48/96 = 1/2 ; 42/98 = 3/7
b) 24/36 = 2/3 ; 18/30 = 3/5 ; 15/120 = 1/8 ; 80 / 240 = 1/3
c) 5 / 25 = 1/5 ; 75/100=3/4 ; 64/720=4/45 ; 16/1000=2/125
Bài 2 :
Các phân số bằng 2/3 là :
\(\text{34/51; 20/30; 84/126}\)
45x36x9/9x6x3=5x6x3=90
45 x 36 x 9 / 9 x 6 x 3
=5 x 6 x 3
=90