\(1.\)Rút gọn phân số
\(\frac{25}{100}\); \(\frac{36}{54}\);\(\frac{72}{81}\)
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\(\frac{30}{25}=\frac{6}{5}\)
\(\frac{70}{49}=\frac{10}{7}\)
\(\frac{-54}{36}=\frac{-3}{2}\)
\(\frac{30}{25}=\frac{30:5}{25:5}=\frac{6}{5}\)
\(\frac{70}{49}=\frac{70:7}{49:7}=\frac{10}{7}\)
\(-\frac{54}{36}=\frac{54:18}{36:18}=\frac{3}{2}\)
\(a,\dfrac{52}{32}=\dfrac{13}{8}\\ \dfrac{55}{65}=\dfrac{11}{13}\\ MSC:104\\ =>\dfrac{13}{8}=\dfrac{13.13}{8.13}=\dfrac{169}{104}\\ \dfrac{11}{13}=\dfrac{11.8}{13.8}=\dfrac{88}{104}\)
\(b,\dfrac{72}{64}=\dfrac{9}{8}\\ \dfrac{54}{81}=\dfrac{2}{3}\\ MSC:24\\ \dfrac{9}{8}=\dfrac{9.3}{8.3}=\dfrac{27}{24}\\ \dfrac{2}{3}=\dfrac{2.8}{3.8}=\dfrac{16}{24}\\ c,\dfrac{24}{36}=\dfrac{2}{3}\\ \dfrac{12}{30}=\dfrac{2}{5}\\ MSC:15\\ \dfrac{2}{3}=\dfrac{2.5}{3.5}=\dfrac{10}{15}\\ \dfrac{2}{5}=\dfrac{2.3}{3.5}=\dfrac{6}{15}\)
\(d,\dfrac{80}{40}=2\\ \dfrac{45}{63}=\dfrac{5}{7}\\ MSC:7\\ 2=\dfrac{14}{7}\\ e,\dfrac{150}{50}=3\\ \dfrac{100}{200}=\dfrac{1}{2}\\ MSC:2\\ 3=\dfrac{6}{2}\\ f,\dfrac{54}{81}=\dfrac{2}{3}\\ \dfrac{69}{93}=\dfrac{23}{21}\\ MSC:21\\ \dfrac{2}{3}=\dfrac{2.7}{3.7}=\dfrac{14}{21}\)
\(a.\dfrac{52}{32}\text{=}\dfrac{13}{8};\dfrac{55}{65}\text{=}\dfrac{11}{13}\)
\(\dfrac{13.13}{13.8}\text{=}\dfrac{169}{104};\dfrac{11.8}{13.8}\text{=}\dfrac{88}{104}\)
\(c.\dfrac{24}{36}\text{=}\dfrac{2}{3};\dfrac{12}{30}\text{=}\dfrac{2}{5}\)
\(\dfrac{2.5}{3.5}\text{=}\dfrac{10}{15};\dfrac{2.3}{5.3}\text{=}\dfrac{6}{15}\)
\(b.\dfrac{72}{64}\text{=}\dfrac{9.3}{8.3}\text{=}\dfrac{27}{24};\dfrac{54}{81}\text{=}\dfrac{2.8}{3.8}\text{=}\dfrac{16}{24}\)
\(d.\dfrac{80}{40}\text{=}\dfrac{2.63}{63}\text{=}\dfrac{126}{63};\dfrac{45}{63}\)
\(e.\dfrac{150}{50}\text{=}\dfrac{3.2}{2}\text{=}\dfrac{6}{2};\dfrac{100}{200}\text{=}\dfrac{1}{2}\)
\(f.\dfrac{54}{81}\text{=}\dfrac{2.31}{3.31}\text{=}\dfrac{62}{93};\dfrac{69}{93}\)
a) \(\frac{\left(-63\right)}{81}=\frac{\left(-63\right):9}{81:9}=\frac{-7}{9}\)
b) \(\frac{-25}{-75}=\frac{\left(-25\right):25}{\left(-75\right):25}=\frac{-1}{-3}=\frac{1}{3}\)
\(a.\frac{-63}{81}=\frac{-7}{9}\)
\(b.\frac{-25}{-75}=\frac{1}{3}\)
\(\dfrac{75}{100}=\dfrac{3}{4};\dfrac{63}{126}=\dfrac{1}{2}\\ \dfrac{36}{27}=1\dfrac{1}{3};\dfrac{81}{54}=1\dfrac{1}{2};\dfrac{105}{405}=\dfrac{7}{27}\)
\(\frac{4}{12}=\frac{4:4}{12:4}=\frac{1}{3}\)
\(\frac{24}{30}=\frac{24:6}{30:6}=\frac{4}{5}\)
\(\frac{25}{100}=\frac{25:25}{100:25}=\frac{1}{4}\)
\(\frac{60}{80}=\frac{60:20}{80:20}=\frac{3}{4}\)
\(\frac{9}{18}=\frac{9:9}{18:9}=\frac{1}{2}\)
\(\frac{60}{36}=\frac{60:12}{36:12}=\frac{5}{3}\)
\(\frac{72}{54}=\frac{72:18}{54:18}=\frac{4}{3}\)
\(\frac{35}{210}=\frac{35:35}{210:35}=\frac{1}{6}\)
4/12=1/3
24/30=4/5
25/100=1/4
60/80=3/4
9/18=1/2
60/36=5/3
72/54=4/3
35/210=1/6
`6/10=3/5`
`70/9=70/9`
`96/72=4/3`
`45/35=9/7`
`24/36=2/3`
`25/100=1/4`
\(\dfrac{24}{36}=\dfrac{2}{3};\dfrac{25}{100}=\dfrac{1}{4};\dfrac{48}{144}=\dfrac{1}{3};\dfrac{9}{54}=\dfrac{1}{6}\)
25/100=25:25/100:25=1/4
36/54=36:18/54:18=2/3
72/81=72:9/81:9=8/9
1/4,2/3,8/9