a) \(\dfrac{11\cdot8-11\cdot3}{17-6}\)

\(=\dfrac{11\cdot\left(8-3\right)}{11}=5\)

b) \(\dfrac{24-12\cdot13}{12+4\cdot9}\)

\(=\dfrac{12\cdot\left(2-13\right)}{12\left(1+3\right)}=\dfrac{-11}{4}\)

Ta có: \(A=\dfrac{3469-54}{6938-108}\)

\(=\dfrac{3469-54}{2\left(3469-54\right)}=\dfrac{1}{2}\)

\(=\dfrac{3}{6}\)

Ta có: \(B=\dfrac{2468-98}{3702-147}\)

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

\(=\dfrac{4}{6}\)

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

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

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

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

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

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

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

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

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

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

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

`a)` 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

\(a,\dfrac{583}{352}=\dfrac{53}{32}\\ b,\dfrac{121212}{313131}=\dfrac{12}{31}\\ c,\dfrac{153.24-153.11}{160-7}=\dfrac{153\left(24-11\right)}{153}=13\)

a.53/32

b.12/31

c.13

a: \(=\dfrac{13\cdot\left(9-2\right)}{13}=7\)

b: \(=\dfrac{14\left(3-8\right)}{7\left(1+3\cdot3\right)}=2\cdot\dfrac{-5}{10}=-1\)

c: \(=\dfrac{54-72}{36}=\dfrac{-18}{36}=-\dfrac{1}{2}\)

d: \(=\dfrac{5^3}{10^2\cdot5}=\dfrac{5^2}{100}=\dfrac{1}{4}\)

c ) − 5 15 = ( − 5 ) : 5 15 : 5 = − 1 2 d ) − 12 − 24 = ( − 12 ) : ( − 12 ) ( − 24 ) : ( − 12 ) = 1 2

e ) 54 270 = 54 : 54 270 : 54 = 1 5 f ) − 12 − 28 = ( − 12 ) : ( − 4 ) ( − 28 ) : ( − 4 ) = 3 7

g ) − 18 − 27 = ( − 18 ) : ( − 9 ) ( − 27 ) : ( − 9 ) = 2 3 h ) 45 − 24 = 45 : ( − 3 ) ( − 24 ) : ( − 3 ) = − 15 8