Rút gọn các phân số sau: a) 54/81 =....................... b) 200/125 =..............................
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\(a,\dfrac{52}{32}=\dfrac{13}{8}\\ \dfrac{55}{65}=\dfrac{11}{13}\\ MSC:104\\ =>\dfrac{13}{8}=\dfrac{13.13}{8.13}=\dfrac{169}{104}\\ \dfrac{11}{13}=\dfrac{11.8}{13.8}=\dfrac{88}{104}\)
\(b,\dfrac{72}{64}=\dfrac{9}{8}\\ \dfrac{54}{81}=\dfrac{2}{3}\\ MSC:24\\ \dfrac{9}{8}=\dfrac{9.3}{8.3}=\dfrac{27}{24}\\ \dfrac{2}{3}=\dfrac{2.8}{3.8}=\dfrac{16}{24}\\ c,\dfrac{24}{36}=\dfrac{2}{3}\\ \dfrac{12}{30}=\dfrac{2}{5}\\ MSC:15\\ \dfrac{2}{3}=\dfrac{2.5}{3.5}=\dfrac{10}{15}\\ \dfrac{2}{5}=\dfrac{2.3}{3.5}=\dfrac{6}{15}\)
\(d,\dfrac{80}{40}=2\\ \dfrac{45}{63}=\dfrac{5}{7}\\ MSC:7\\ 2=\dfrac{14}{7}\\ e,\dfrac{150}{50}=3\\ \dfrac{100}{200}=\dfrac{1}{2}\\ MSC:2\\ 3=\dfrac{6}{2}\\ f,\dfrac{54}{81}=\dfrac{2}{3}\\ \dfrac{69}{93}=\dfrac{23}{21}\\ MSC:21\\ \dfrac{2}{3}=\dfrac{2.7}{3.7}=\dfrac{14}{21}\)
\(a.\dfrac{52}{32}\text{=}\dfrac{13}{8};\dfrac{55}{65}\text{=}\dfrac{11}{13}\)
\(\dfrac{13.13}{13.8}\text{=}\dfrac{169}{104};\dfrac{11.8}{13.8}\text{=}\dfrac{88}{104}\)
\(c.\dfrac{24}{36}\text{=}\dfrac{2}{3};\dfrac{12}{30}\text{=}\dfrac{2}{5}\)
\(\dfrac{2.5}{3.5}\text{=}\dfrac{10}{15};\dfrac{2.3}{5.3}\text{=}\dfrac{6}{15}\)
\(b.\dfrac{72}{64}\text{=}\dfrac{9.3}{8.3}\text{=}\dfrac{27}{24};\dfrac{54}{81}\text{=}\dfrac{2.8}{3.8}\text{=}\dfrac{16}{24}\)
\(d.\dfrac{80}{40}\text{=}\dfrac{2.63}{63}\text{=}\dfrac{126}{63};\dfrac{45}{63}\)
\(e.\dfrac{150}{50}\text{=}\dfrac{3.2}{2}\text{=}\dfrac{6}{2};\dfrac{100}{200}\text{=}\dfrac{1}{2}\)
\(f.\dfrac{54}{81}\text{=}\dfrac{2.31}{3.31}\text{=}\dfrac{62}{93};\dfrac{69}{93}\)
Bài 1. Rút gọn các phân số:
24/36 =2/3
12/81=4/27
125/250 =1/2
131313/151515=13/15
20052005/20062006= 2005/2006
Bài 2: So sánh các phân số sau;
3/8 và 1/3
Ta có: 3/8 = 9/24 ; 1/3 = 8/24
=> 3/8 > 1/3
2/5 và 4/7
Ta có: 2/5 = 14/35 ; 4/7 = 20/35
=> 2/5 < 4/7
2004/2005 và 2005/2006
Ta có: 2004/2005 = 1 - 2004/2005 = 1/2005
2005/2006 = 1 - 2005/2006 = 1/2006
=> 2004/2005 < 2005/2006
Bài 4 Tim y biết:
y : 2 + y + y : 3 + y : 4 = 25
=> y : 2 + y : 1 + y : 3 + y : 4 = 25
=> y : (2+1+3+4)=25
=> y : 10 = 25
=> y = 25 x 10
=> y = 250
Vậy y=250
\(\Leftrightarrow\dfrac{1}{2};\dfrac{1}{2};\dfrac{8}{5};\dfrac{3}{2}\)
\(\dfrac{4}{100}=\dfrac{1}{25}\\ \dfrac{81}{54}=\dfrac{3}{2}\)
\(\frac{81}{54}\)=\(\frac{81:27}{54:27}\)=\(\frac{3}{2}\)
HT
a) 36 − 48 = − 3 4
b) − 15 50 = − 3 10
c) − 18 − 81 = 2 9
d) 145 215 = 29 43
Rút gọn P/S : \(\frac{81}{54}\)
\(\frac{81}{54}=\frac{81:9}{54:9}=\frac{9}{6}=\frac{9:3}{6:3}=\frac{3}{2}\)
@Trunglaai?
`a)` Phân số tối giản là: \(\dfrac{2}{3};\dfrac{5}{4};\dfrac{11}{12}\)
`b)` Phân số rút gọn được là: \(\dfrac{28}{14};\dfrac{69}{54}\)
\(\dfrac{28}{14}=\dfrac{28:14}{14:14}=2\)
\(\dfrac{69}{54}=\dfrac{69:3}{54:3}=\dfrac{23}{18}\)
a, phân số tối giản là 2/3; 11/12; 5/4
b, phân số rút gọn được là 28/14=2; 69/54=16/9
a, \(\dfrac{2}{3}\)
b, \(\dfrac{8}{5}\)