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a, 24/-42 = -24/42= -4x6/7x6 =-4/7
b,-24/36 = -2x12/3x12 =-2/3
c,-8/56= -1x8/7x8 =-1/7
d,29/-87= -29/87 =-1x29/3x29 =-1/3
e, -3x35/42x9 =-1x3x5x7/6x7x3x3 =-1x5/3x6 =-5/18
f,-45045 / 6006000=-45x1001 /6000x1001=45/6000=3x15/15x400=3/400
\(a.\frac{-4}{7},b.\frac{-2}{3},c.\frac{-1}{7},d.\frac{-1}{3},e.\frac{-5}{18},f.\frac{-3}{400}\)
a) Ta có: \(\dfrac{7\cdot25}{14\cdot10}\)
\(=\dfrac{7\cdot5\cdot5}{7\cdot2\cdot2\cdot5}\)
\(=\dfrac{5}{4}\)
b) Ta có: \(\dfrac{24\cdot15-14\cdot9}{36\cdot12}\)
\(=\dfrac{9\cdot8\cdot5-14\cdot9}{36\cdot12}\)
\(=\dfrac{9\cdot\left(8\cdot5-14\right)}{9\cdot4\cdot12}\)
\(=\dfrac{40-14}{4\cdot12}\)
\(=\dfrac{13}{24}\)
a ) 1 3 b ) 1 4 c ) − 1 3
d ) 1 2 e ) 1 4 f ) 3 5
g ) 2 3 h ) − 3 2
6/9=6:3/9:3=2/3
6/24=6:6/24:6=1/4
12/24=12:12/24:12=1/2
6/14=6:2/14:2=3/7
14/21=2/3; -36/48=-2/3
28/-52=-7/13; -54/-90=3/5
-21/39=-7/13
-21/39=-7/13=-14/26=-21/39=-28/52=-35/65=-42/78=-48/91
`14/21=2/3`
`(-36)/48=-3/4`
`28/(-52)=-7/13`
`(-54)/(-90)=3/5`
`(-21)/39=-7/13`
\(\frac{9^{14}.25^5.8^7}{18^{12}.625^3.24^3}=\frac{\left(3^2\right)^{14}.\left(5^2\right)^5.\left(2^3\right)^7}{\left(2.3^2\right)^{12}.\left(5^4\right)^3.\left(3.2^3\right)^3}=\frac{3^{28}.5^{10}.2^{21}}{2^{12}.3^{24}.5^{12}.3^3.2^9}=\frac{3^{28}.5^{10}.2^{21}}{2^{21}.3^{27}.5^{12}}=\frac{3}{5^2}=\frac{3}{25}\)
Phân số \(\frac{11}{23}\)là phân số tối giản, \(\frac{-24}{15}\)là phân số chưa tối giản
ta có:\(\frac{-24}{15}=\frac{\left(-24\right):3}{15:3}=\frac{-8}{5}\)
-24/42=-4/7
-24/36=-2/3
-8/56=-1/7
29/-87=-1/3
51/-18=-17/3