rút gọn phân số : 69/80
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`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
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\(a,\dfrac{52}{32}=\dfrac{13}{8}\\ \dfrac{55}{65}=\dfrac{11}{13}\\ MSC:104\\ =>\dfrac{13}{8}=\dfrac{13.13}{8.13}=\dfrac{169}{104}\\ \dfrac{11}{13}=\dfrac{11.8}{13.8}=\dfrac{88}{104}\)
\(b,\dfrac{72}{64}=\dfrac{9}{8}\\ \dfrac{54}{81}=\dfrac{2}{3}\\ MSC:24\\ \dfrac{9}{8}=\dfrac{9.3}{8.3}=\dfrac{27}{24}\\ \dfrac{2}{3}=\dfrac{2.8}{3.8}=\dfrac{16}{24}\\ c,\dfrac{24}{36}=\dfrac{2}{3}\\ \dfrac{12}{30}=\dfrac{2}{5}\\ MSC:15\\ \dfrac{2}{3}=\dfrac{2.5}{3.5}=\dfrac{10}{15}\\ \dfrac{2}{5}=\dfrac{2.3}{3.5}=\dfrac{6}{15}\)
\(d,\dfrac{80}{40}=2\\ \dfrac{45}{63}=\dfrac{5}{7}\\ MSC:7\\ 2=\dfrac{14}{7}\\ e,\dfrac{150}{50}=3\\ \dfrac{100}{200}=\dfrac{1}{2}\\ MSC:2\\ 3=\dfrac{6}{2}\\ f,\dfrac{54}{81}=\dfrac{2}{3}\\ \dfrac{69}{93}=\dfrac{23}{21}\\ MSC:21\\ \dfrac{2}{3}=\dfrac{2.7}{3.7}=\dfrac{14}{21}\)
\(a.\dfrac{52}{32}\text{=}\dfrac{13}{8};\dfrac{55}{65}\text{=}\dfrac{11}{13}\)
\(\dfrac{13.13}{13.8}\text{=}\dfrac{169}{104};\dfrac{11.8}{13.8}\text{=}\dfrac{88}{104}\)
\(c.\dfrac{24}{36}\text{=}\dfrac{2}{3};\dfrac{12}{30}\text{=}\dfrac{2}{5}\)
\(\dfrac{2.5}{3.5}\text{=}\dfrac{10}{15};\dfrac{2.3}{5.3}\text{=}\dfrac{6}{15}\)
\(b.\dfrac{72}{64}\text{=}\dfrac{9.3}{8.3}\text{=}\dfrac{27}{24};\dfrac{54}{81}\text{=}\dfrac{2.8}{3.8}\text{=}\dfrac{16}{24}\)
\(d.\dfrac{80}{40}\text{=}\dfrac{2.63}{63}\text{=}\dfrac{126}{63};\dfrac{45}{63}\)
\(e.\dfrac{150}{50}\text{=}\dfrac{3.2}{2}\text{=}\dfrac{6}{2};\dfrac{100}{200}\text{=}\dfrac{1}{2}\)
\(f.\dfrac{54}{81}\text{=}\dfrac{2.31}{3.31}\text{=}\dfrac{62}{93};\dfrac{69}{93}\)
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49/69 Phân.số.tối.giản
50/ 80 =5/ 8
35/ 40=7/ 8
125/ 1000=1/ 8
![](https://rs.olm.vn/images/avt/0.png?1311)
\(\dfrac{49}{69}Phân.số.tối.giản\\ \dfrac{50}{80}=\dfrac{50: 10}{80:10}=\dfrac{5}{8}\\ \dfrac{35}{40}=\dfrac{35:5}{40:5}=\dfrac{7}{8}\\ \dfrac{125}{1000}=\dfrac{125:125}{1000:125}=\dfrac{1}{8}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
\(\dfrac{16}{26}=\dfrac{8}{13};\dfrac{36}{12}=3;\dfrac{48}{86}=\dfrac{16}{13};\dfrac{80}{65}=\dfrac{16}{13}\)
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Ta có:
\(\begin{array}{l}\frac{{24}}{{108}} = \frac{{24:12}}{{108:12}} = \frac{2}{9};\\\frac{{80}}{{32}} = \frac{{80:16}}{{32:16}} = \frac{5}{2}\end{array}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
Nếu \(x\)là \(9\)phần thì \(y\)là \(14\)phần.
Tổng số phần bằng nhau là:
\(9+14=23\)(phần)
\(x\)bằng:
\(69\div23\times9=27\)
\(y\)bằng:
\(69-27=42\)
\(\frac{69}{80}\)là p/s tối giản
\(\frac{69}{80}=\frac{69}{80}\)
Ko rút gọn đc