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Câu 1:
MSC=60
7/10=7.6/10.6=42/60 5/-12=-5/12=-5.5/12.5=-25/60
Câu 2:
17/34=1/2; -12/22=-6/11; -25/35=-5/7; 125/75=5/3
Câu 3:
MSC=24
1/3=1.8/3.8=8/24 -3/8=-3.3/8.3=-9/24 17/24=17/24
Rút gọn :
\(\dfrac{25.9-25.17}{\left(-8\right).10-8.10}=\dfrac{25.\left(9-17\right)}{\left(-8\right).10-\left(-8\right).\left(-10\right)}=\dfrac{25.\left(-8\right)}{\left(-8\right).\left(10+10\right)}=\dfrac{25.\left(-8\right)}{20.\left(-8\right)}=\dfrac{25}{20}=\dfrac{5}{4}\)
\(\dfrac{48.12-48.15}{\left(-3\right).270-3.30}=\dfrac{48.\left(12-15\right)}{\left(-3\right).270-\left(-3\right).\left(-30\right)}=\dfrac{48.\left(-3\right)}{\left(-3\right).\left(270+30\right)}=\dfrac{48.\left(-3\right)}{300.\left(-3\right)}=\dfrac{48}{300}=\dfrac{4}{25}\)
Quy đồng :
- Tìm BCNN( 4 , 25 ) :
( 4 , 25 ) = 1
BCNN( 4 , 25 ) = 4 . 25 = 100
- Tìm thừa số phụ :
100 : 4 = 25
100 : 25 = 4
- Nhân tử và mẫu của mỗi phân số với thừa số phụ tương ứng
\(\dfrac{5}{4}=\dfrac{5.25}{4.25}=\dfrac{125}{100}\)
\(\dfrac{4}{25}=\dfrac{4.4}{25.4}=\dfrac{16}{100}\)
\(\frac{-9}{12}+\left(-10\right)\)
\(=\frac{-9}{12}-\frac{10}{1}=\frac{-9}{12}-\frac{120}{12}=\frac{-9-120}{12}\)
\(=\frac{-129}{12}\)
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
\(\dfrac{-12}{81}\) = \(\dfrac{-4}{27}\) = \(\dfrac{-4.16}{27.16}\) = \(\dfrac{-64}{432}\)
\(\dfrac{36}{64}\) = \(\dfrac{9}{16}\) = \(\dfrac{9.27}{16.27}\) = \(\dfrac{243}{432}\)
\(\dfrac{25}{-10}\) = \(\dfrac{-5}{2}\)= \(\dfrac{-5.216}{2.216}\) = \(\dfrac{-1080}{432}\)
\(\frac{-10}{-30}=\frac{10}{30}=\frac{1}{3}\)
\(\frac{12}{-24}=\frac{-12}{24}=\frac{-1}{2}\)
\(\frac{-12}{48}=\frac{-1}{4}\)
BCNN(3, 2, 4) = 12
12 : 3 = 4 ; 12 : 2 = 6 ; 12 : 4 = 3
=> \(\frac{1}{3}=\frac{1\cdot4}{3\cdot4}=\frac{4}{12}\); \(\frac{-1}{2}=\frac{-1\cdot6}{2\cdot6}=\frac{-6}{12}\); \(\frac{-1}{4}=\frac{-1\cdot3}{4\cdot3}=\frac{-3}{12}\)
1. 1/3
2. -1/2
3. -1/4