`MSC: 756`

Có: `5/21=[5.36]/[21.36]=180/756`

      `3/28=[3.27]/[28.27]=81/756`

      `45/[-108]=[-45.7]/[108.7]=[-315]/756`

Quy đồng \(\dfrac{5}{21};\dfrac{3}{28};\dfrac{45}{-108}\) 

Chuyển dấu \(\dfrac{45}{-108}=\dfrac{45 . \left(-1\right)}{\left(-108\right) . \left(-1\right)}=-\dfrac{45}{108}\) 

Ta có MSC(21,28,108): 756

\(\dfrac{5}{21}=\dfrac{5 . 36}{21 . 36}=\dfrac{180}{756}\) ; \(\dfrac{3}{28}=\dfrac{3 . 27}{28 . 27}=\dfrac{81}{756}\) ; \(-\dfrac{45}{108}=\dfrac{\left(-45\right) . 7}{108 . 7}=-\dfrac{315}{756}\)

Bài 2:

a: \(\dfrac{1}{4};\dfrac{2}{5}\)

\(\dfrac{1}{4}=\dfrac{1\cdot5}{4\cdot5}=\dfrac{5}{20}\)

\(\dfrac{2}{5}=\dfrac{2\cdot4}{5\cdot4}=\dfrac{8}{20}\)

\(\dfrac{2}{3};\dfrac{7}{8}\)

\(\dfrac{2}{3}=\dfrac{2\cdot8}{3\cdot8}=\dfrac{16}{24}\)

\(\dfrac{7}{8}=\dfrac{7\cdot3}{8\cdot3}=\dfrac{21}{24}\)

\(\dfrac{3}{4};\dfrac{5}{6}\)

\(\dfrac{3}{4}=\dfrac{3\cdot3}{4\cdot3}=\dfrac{9}{12}\)

\(\dfrac{5}{6}=\dfrac{5\cdot2}{6\cdot2}=\dfrac{10}{12}\)

b: \(\dfrac{1}{3};\dfrac{7}{9}\)

\(\dfrac{1}{3}=\dfrac{1\cdot3}{3\cdot3}=\dfrac{3}{9}\)

\(\dfrac{7}{9}=\dfrac{7\cdot1}{9\cdot1}=\dfrac{7}{9}\)

\(\dfrac{3}{4};\dfrac{9}{24}\)

\(\dfrac{3}{4}=\dfrac{3\cdot6}{4\cdot6}=\dfrac{18}{24}\)

\(\dfrac{9}{24}=\dfrac{9\cdot1}{24\cdot1}=\dfrac{9}{24}\)

\(\dfrac{7}{10};\dfrac{19}{30}\)

\(\dfrac{7}{10}=\dfrac{7\cdot3}{10\cdot3}=\dfrac{21}{30}\)

\(\dfrac{19}{30}=\dfrac{19\cdot1}{30\cdot1}=\dfrac{19}{30}\)

Bài 1:

\(\dfrac{36}{108}=\dfrac{36:36}{108:36}=\dfrac{1}{3}\)

\(\dfrac{28}{30}=\dfrac{28:2}{30:2}=\dfrac{14}{15}\)

\(\dfrac{42}{98}=\dfrac{42:14}{98:14}=\dfrac{3}{7}\)

\(\dfrac{15}{120}=\dfrac{15:15}{120:15}=\dfrac{1}{8}\)

\(\dfrac{84}{364}=\dfrac{84:28}{364:28}=\dfrac{3}{13}\)

\(\dfrac{120}{100}=\dfrac{120:20}{100:20}=\dfrac{6}{5}\)

\(\dfrac{418}{38}=\dfrac{418:38}{38:38}=\dfrac{11}{1}=11\)

\(\dfrac{96}{1056}=\dfrac{96:96}{1056:96}=\dfrac{1}{11}\)

\(\dfrac{3838}{4040}=\dfrac{3838:101}{4040:101}=\dfrac{38}{40}=\dfrac{38:2}{40:2}=\dfrac{19}{20}\)

\(\dfrac{119119}{123123}=\dfrac{119119:1001}{123123:1001}=\dfrac{119}{123}\)

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Bài 3 : 

a: \(MSC:12\\ \dfrac{4}{3}=\dfrac{4\times4}{3\times4}=\dfrac{16}{12};\dfrac{3}{4}=\dfrac{3\times3}{3\times4}=\dfrac{9}{12}\)

b: \(MSC:12\\ \dfrac{5}{4}=\dfrac{5\times3}{4\times3}=\dfrac{15}{12};\dfrac{5}{6}=\dfrac{5\times2}{6\times2}=\dfrac{10}{12}\)

c:\(MSC:24\\ \dfrac{3}{8}=\dfrac{3\times3}{8\times3}=\dfrac{9}{24};\dfrac{1}{6}=\dfrac{1\times2}{6\times2}=\dfrac{2}{12}\)

d: \(MSC:35\\ \dfrac{2}{5}=\dfrac{2\times7}{5\times7}=\dfrac{14}{35};\dfrac{4}{7}=\dfrac{4\times5}{7\times5}=\dfrac{20}{35}\)

Bài 3: 

a: 4/3=16/12

3/4=9/12

b: 5/4=30/24

5/6=20/24

c: 3/8=18/48

1/6=8/48

d: 2/5=14/35

4/7=20/35

Bài 4: 

a: 7/12=28/48

5/48=5/48

b: 4/100=4/100

8/25=32/100

20/35

a: 5/6=25/30

9/30=9/30

b: 7/8=49/56

5/7=40/56

c: 2/9=4/18

5/18=5/18

d: 3/10=6/20

1/4=5/20

 5/6=25/30

9/30=9/30 

7/8=49/56

5/7=40/56

 2/9=4/18

5/18=5/18

 3/10=6/20

1/4=5/20