\(\dfrac{36}{64}=\dfrac{9}{16}\) ; \(-\dfrac{12}{81}=-\dfrac{4}{27}\)

Quy đồng:

\(\dfrac{9}{16}=\dfrac{243}{432}\) ; \(-\dfrac{4}{27}=-\dfrac{64}{432}\)

`36/64 = 9/16 = (9 . 27)/(16 . 27) = 243/432`

`-12/81 = -4/27 = (-4 . 16)/(16 . 27) = -64/432`

a; \(\dfrac{-12}{30}\) = \(\dfrac{-2}{5}\) = \(\dfrac{-2.4}{5.4}\) = \(\dfrac{-8}{20}\)

    \(\dfrac{18}{-40}\) = \(\dfrac{9}{20}\)

b; \(\dfrac{-12}{81}\) = \(\dfrac{-4}{27}\); \(\dfrac{36}{64}\) = \(\dfrac{9}{16}\); \(\dfrac{25}{-10}\) = \(\dfrac{-5}{2}\)

   27 = 3³; 16 = 2⁴; 2 = 2

BCNN(27; 16; 2) = 2⁴.3³= 432

\(\dfrac{-12}{81}\) = \(\dfrac{-4}{27}\) = \(\dfrac{-4.16}{27.16}\) = \(\dfrac{-64}{432}\)

\(\dfrac{36}{64}\) = \(\dfrac{9}{16}\) = \(\dfrac{9.27}{16.27}\) = \(\dfrac{243}{432}\)

\(\dfrac{25}{-10}\) = \(\dfrac{-5}{2}\)= \(\dfrac{-5.216}{2.216}\) = \(\dfrac{-1080}{432}\)

a) $\frac{5}{3} = \frac{{5 \times 4}}{{3 \times 4}} = \frac{{20}}{{12}}$

Quy đồng mẫu số hai phân số $\frac{5}{3}$ và $\frac{{28}}{{12}}$ được $\frac{{20}}{{12}}$ và $\frac{{28}}{{12}}$

b) $\frac{2}{9} = \frac{{2 \times 9}}{{9 \times 9}} = \frac{{18}}{{81}}$

Quy đồng mẫu số hai phân số $\frac{2}{9}$ và $\frac{{17}}{{81}}$ được $\frac{{18}}{{81}}$ và $\frac{{17}}{{81}}$

c) $\frac{5}{8} = \frac{{5 \times 3}}{{8 \times 3}} = \frac{{15}}{{24}}$

Quy đồng mẫu số hai phân số $\frac{9}{{24}}$và $\frac{5}{8}$ được $\frac{9}{{24}}$và $\frac{{15}}{{24}}$

a) \(\dfrac{28}{12}=\dfrac{28:4}{12:4}=\dfrac{7}{3}\)

b) \(\dfrac{2}{9}=\dfrac{2\times9}{9\times9}=\dfrac{18}{81}\)

c) \(\dfrac{9}{24}=\dfrac{9:3}{24:3}=\dfrac{3}{8}\)

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

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

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

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

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

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

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

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

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

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

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

a: 3/8=36/96

5/12=40/96

b: -2/9=-24/108

-5/12=-45/108

c: -3/16=-63/336

-5/24=-70/336

-21/56=-126/336

7/1 và 9/2

Mẫu chung 2

 81/7 và 9/21

Mẫu chung 21

\(\dfrac{7\times2}{1\times2}=\dfrac{14}{2}.và.\dfrac{9}{2};\dfrac{81\times3}{7\times3}=\dfrac{243}{21}và\dfrac{9}{21}\)

\(\dfrac{60}{81}< \dfrac{60}{80}\) và \(\dfrac{21}{25}>\dfrac{20}{25}\)

=> \(\dfrac{60}{80}=\dfrac{3}{4}\) và \(\dfrac{20}{25}=\dfrac{4}{5}\) => \(\dfrac{4}{5}>\dfrac{3}{4}\)

\(=>\dfrac{21}{25}>\dfrac{20}{25}>\dfrac{60}{80}>\dfrac{60}{81}\)

Vậy \(\dfrac{21}{25}>\dfrac{60}{81}\)

21/25>60/81

Ta có \(\dfrac{21}{25}>\dfrac{21}{27}\), lại có \(\dfrac{60}{81}=\dfrac{20}{27}< \dfrac{21}{27}\) nên \(\dfrac{21}{25}>\dfrac{60}{81}\)

2/3=8/12

5/12=5/12

\(\dfrac{2\times4}{3\times4}=\dfrac{8}{12}và\dfrac{5}{12}\)

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