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\(\dfrac{36}{64}=\dfrac{9}{16}\) ; \(-\dfrac{12}{81}=-\dfrac{4}{27}\)
Quy đồng:
\(\dfrac{9}{16}=\dfrac{243}{432}\) ; \(-\dfrac{4}{27}=-\dfrac{64}{432}\)
a; \(\dfrac{-12}{30}\) = \(\dfrac{-2}{5}\) = \(\dfrac{-2.4}{5.4}\) = \(\dfrac{-8}{20}\)
\(\dfrac{18}{-40}\) = \(\dfrac{9}{20}\)
b; \(\dfrac{-12}{81}\) = \(\dfrac{-4}{27}\); \(\dfrac{36}{64}\) = \(\dfrac{9}{16}\); \(\dfrac{25}{-10}\) = \(\dfrac{-5}{2}\)
27 = 33; 16 = 24; 2 = 2
BCNN(27; 16; 2) = 24.33= 432
\(\dfrac{-12}{81}\) = \(\dfrac{-4}{27}\) = \(\dfrac{-4.16}{27.16}\) = \(\dfrac{-64}{432}\)
\(\dfrac{36}{64}\) = \(\dfrac{9}{16}\) = \(\dfrac{9.27}{16.27}\) = \(\dfrac{243}{432}\)
\(\dfrac{25}{-10}\) = \(\dfrac{-5}{2}\)= \(\dfrac{-5.216}{2.216}\) = \(\dfrac{-1080}{432}\)
a: 3/8=36/96
5/12=40/96
b: -2/9=-24/108
-5/12=-45/108
c: -3/16=-63/336
-5/24=-70/336
-21/56=-126/336
Quy đồng mẫu số các phân số \(\frac{49}{-42};\frac{-45}{81};\frac{-24}{45}\)
Rút gọn các phân số ta được : \(\frac{49}{-42}=\frac{-49}{42}=\frac{-7}{6}\); \(\frac{-45}{81}=\frac{-5}{9}\); \(\frac{-24}{45}=\frac{-8}{15}\)
Ta có : 6 = 2 . 3
9 = 32
15 = 3 . 5
=> BCNN(6, 9, 15) = 2 . 32 . 5 = 90
90 : 6 = 15
90 : 9 = 10
90 : 15 = 6
=> \(\frac{-7}{6}=\frac{-7\cdot15}{6\cdot15}=\frac{-105}{90}\); \(\frac{-5}{9}=\frac{-5\cdot10}{9\cdot10}=\frac{-50}{90}\); \(\frac{-8}{15}=\frac{-8\cdot6}{15\cdot6}=\frac{-48}{90}\)
49/-42 = 7/-6 = -7/6
-45/81 = -5/9
-24/45 = -8/15
BCNN(6;9;15) = 90
-7/6 = -105/90
-5/9 = -50/90
-8/15 = -48/90
Vậy 49/-42 = -105/9 ; -45/81 = -50/90 ; -24/45 = -48/90
Chúc bạn học tốt!
a) \(-\dfrac{5}{14}=-\dfrac{5.3}{14.3}=-\dfrac{15}{42}\)
\(\dfrac{1}{-21}=-\dfrac{1}{21}=-\dfrac{1.2}{21.2}=-\dfrac{2}{42}\)
b) \(\dfrac{17}{60}=\dfrac{17.3}{60.3}=\dfrac{51}{180}\)
\(\dfrac{-5}{18}=\dfrac{-5.10}{18.10}=-\dfrac{50}{180}\)
\(-\dfrac{64}{90}=-\dfrac{64.2}{90.2}=-\dfrac{128}{180}\)
a)-5/14 và 1/-21
-5/14=-5.-21/14.-2=105/-28