Hãy nhập câu hỏi của bạn vào đây, nếu là tài khoản VIP, bạn sẽ được ưu tiên trả lời.
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: \(\dfrac{5}{7}=\dfrac{5\cdot11}{7\cdot11}=\dfrac{55}{77}\)
\(\dfrac{9}{11}=\dfrac{9\cdot7}{11\cdot7}=\dfrac{63}{77}\)
b: \(\dfrac{36}{42}=\dfrac{6}{7}=\dfrac{6\cdot9}{7\cdot9}=\dfrac{54}{63}\)
\(-\dfrac{12}{54}=\dfrac{-2}{9}=\dfrac{-2\cdot7}{9\cdot7}=-\dfrac{14}{63}\)
c: \(\dfrac{-11}{30}=\dfrac{-11\cdot4}{30\cdot4}=\dfrac{-44}{120}\)
\(\dfrac{-17}{-40}=\dfrac{17}{40}=\dfrac{17\cdot3}{40\cdot3}=\dfrac{51}{120}\)
d: \(\dfrac{36}{42}=\dfrac{6}{7}=\dfrac{6\cdot3}{7\cdot3}=\dfrac{18}{21}\)
\(\dfrac{-12}{36}=\dfrac{-1}{3}=\dfrac{-1\cdot7}{3\cdot7}=\dfrac{-7}{21}\)
a: 2/3=28/42
-5/7=-30/42
3/14=9/42
b: 4/15=24/90
5/9=50/90
-12/36=-1/3=-30/90
\(\frac{1}{12},\frac{5}{18},\frac{5}{36}\)MSC : 36
\(\frac{1}{12_{\left(3\right)}},\frac{5}{18_{\left(2\right)}},\frac{5}{36}=\frac{3}{36},\frac{10}{36},\frac{5}{36}\)
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!
( Giải chi tiết ) Ta có: \(48=2^4.3\) ; \(36=2^2.3^2\)
\(\Rightarrow BCNN\left(48;36\right)=2^4.3^2=16.9=144\)
\(\Rightarrow144:36=4;144:48=3\)
\(\dfrac{7}{48}=\dfrac{7\times3}{48\times3}=\dfrac{21}{144}\) ; \(\dfrac{-5}{36}=\dfrac{-5\times4}{36\times4}=\dfrac{-20}{144}\)
\(\dfrac{36}{64}=\dfrac{9}{16}\) ; \(-\dfrac{12}{81}=-\dfrac{4}{27}\)
Quy đồng:
\(\dfrac{9}{16}=\dfrac{243}{432}\) ; \(-\dfrac{4}{27}=-\dfrac{64}{432}\)
`36/64 = 9/16 = (9 . 27)/(16 . 27) = 243/432`
`-12/81 = -4/27 = (-4 . 16)/(16 . 27) = -64/432`