Ta rút gọn:

\(\frac{12}{15}=\frac{4}{5}=\frac{48}{60}\)

\(\frac{14}{-21}=\frac{-2}{3}=\frac{-40}{60}\)

\(\frac{-21}{-18}=\frac{21}{18}=\frac{7}{6}=\frac{70}{60}\)

\(\frac{3469-54}{6928-108}=\frac{3469-54}{2.\left(3469-54\right)}=\frac{1}{2}\)

\(\frac{2468-98}{3702-147}=\frac{2\left(1234-49\right)}{3\left(1234-49\right)}=\frac{2}{3}\)

A = \(\frac{3469-54}{6938-108}\)

= \(\frac{3469-54}{2\left(3469-54\right)}\)

= \(\frac{1}{2}\)

B = \(\frac{2468-98}{3702-147}\)

= \(\frac{2\left(1234-49\right)}{3\left(1234-49\right)}\)

= \(\frac{2}{3}\)

BCNN(2,3) = 6

\(\frac{1}{2}=\frac{1.3}{2.3}=\frac{3}{6}\)

\(\frac{2}{3}=\frac{2.2}{3.2}=\frac{4}{6}\)

\(A=\frac{3469-54}{6938-108}=\frac{3469-54}{3469.2-54.2}=\frac{3469-54}{2.\left(3469-54\right)}=\frac{1}{2}=\frac{1.3}{2.3}=\frac{3}{6}\)

\(B=\frac{2468-98}{3702-147}=\frac{1234.2-49.2}{1234.3-49.3}=\frac{2.\left(1234-49\right)}{3.\left(1234-49\right)}=\frac{2}{3}=\frac{2.2}{3.2}=\frac{4}{6}\)

Ta rút gọn các phân số về dạng tối giản:

Do vậy ta có: 

Phân số  không bằng phân số nào trong các phân số còn lại.

Ta rút gọn các phân số về dạng tối giản:

Do vậy ta có: 

Phân số  không bằng phân số nào trong các phân số còn lại.

\(a,\dfrac{52}{32}=\dfrac{13}{8}\\ \dfrac{55}{65}=\dfrac{11}{13}\\ MSC:104\\ =>\dfrac{13}{8}=\dfrac{13.13}{8.13}=\dfrac{169}{104}\\ \dfrac{11}{13}=\dfrac{11.8}{13.8}=\dfrac{88}{104}\)

\(b,\dfrac{72}{64}=\dfrac{9}{8}\\ \dfrac{54}{81}=\dfrac{2}{3}\\ MSC:24\\ \dfrac{9}{8}=\dfrac{9.3}{8.3}=\dfrac{27}{24}\\ \dfrac{2}{3}=\dfrac{2.8}{3.8}=\dfrac{16}{24}\\ c,\dfrac{24}{36}=\dfrac{2}{3}\\ \dfrac{12}{30}=\dfrac{2}{5}\\ MSC:15\\ \dfrac{2}{3}=\dfrac{2.5}{3.5}=\dfrac{10}{15}\\ \dfrac{2}{5}=\dfrac{2.3}{3.5}=\dfrac{6}{15}\)

\(d,\dfrac{80}{40}=2\\ \dfrac{45}{63}=\dfrac{5}{7}\\ MSC:7\\ 2=\dfrac{14}{7}\\ e,\dfrac{150}{50}=3\\ \dfrac{100}{200}=\dfrac{1}{2}\\ MSC:2\\ 3=\dfrac{6}{2}\\ f,\dfrac{54}{81}=\dfrac{2}{3}\\ \dfrac{69}{93}=\dfrac{23}{21}\\ MSC:21\\ \dfrac{2}{3}=\dfrac{2.7}{3.7}=\dfrac{14}{21}\)

\(a.\dfrac{52}{32}\text{=}\dfrac{13}{8};\dfrac{55}{65}\text{=}\dfrac{11}{13}\)

\(\dfrac{13.13}{13.8}\text{=}\dfrac{169}{104};\dfrac{11.8}{13.8}\text{=}\dfrac{88}{104}\)

\(c.\dfrac{24}{36}\text{=}\dfrac{2}{3};\dfrac{12}{30}\text{=}\dfrac{2}{5}\)

\(\dfrac{2.5}{3.5}\text{=}\dfrac{10}{15};\dfrac{2.3}{5.3}\text{=}\dfrac{6}{15}\)

\(b.\dfrac{72}{64}\text{=}\dfrac{9.3}{8.3}\text{=}\dfrac{27}{24};\dfrac{54}{81}\text{=}\dfrac{2.8}{3.8}\text{=}\dfrac{16}{24}\)

\(d.\dfrac{80}{40}\text{=}\dfrac{2.63}{63}\text{=}\dfrac{126}{63};\dfrac{45}{63}\)

\(e.\dfrac{150}{50}\text{=}\dfrac{3.2}{2}\text{=}\dfrac{6}{2};\dfrac{100}{200}\text{=}\dfrac{1}{2}\)

\(f.\dfrac{54}{81}\text{=}\dfrac{2.31}{3.31}\text{=}\dfrac{62}{93};\dfrac{69}{93}\)

\(\frac{-63}{108}\)= \(\frac{-7}{12}\)

\(\frac{-33}{-77}\)= \(\frac{3}{7}\)

\(\frac{-5}{10}\)=\(\frac{-1}{2}\)

\(\frac{14}{63}\)=\(\frac{2}{9}\)

\(\frac{-15}{25}\)=\(\frac{-3}{5}\)

\(\frac{-45}{18}\)=\(\frac{-5}{2}\)

\(\frac{12}{15}\)=\(\frac{4}{5}\)

\(\frac{20}{25}\)=\(\frac{4}{5}\)

\(\frac{31}{12}\):Là phân số tối giản

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