a: \(\dfrac{3}{5}-\dfrac{7}{4}=\dfrac{12}{20}-\dfrac{35}{20}=\dfrac{-23}{20}\)

b: \(\dfrac{4}{5}:\dfrac{-8}{15}=\dfrac{-4}{5}\cdot\dfrac{15}{8}=\dfrac{-60}{40}=\dfrac{-3}{2}\)

c: \(=7+\dfrac{5}{9}-2-\dfrac{3}{4}-3-\dfrac{5}{9}=2-\dfrac{3}{4}=\dfrac{5}{4}\)

d: \(=\dfrac{-3}{7}\left(\dfrac{4}{19}+\dfrac{15}{19}\right)+\dfrac{5}{7}=\dfrac{2}{7}\)

a) 3 2/7 - 2/5 + 5/7 - 3/5

= 3 + 2/7 - (2/5 + 3/5) + 5/7

= 3 + (2/7 + 5/7) - 1

= 3 + 1 - 1

= 3

b) 5 4/7 - 4/9 + 1 3/7 - 5/9

= 5 + 4/7 - 4/9 + 1 + 3/7 - 5/9

= (5 + 1) + (4/7 + 3/7) - (4/9 + 5/9)

= 6 + 1 - 1

= 6

a) \(3\dfrac{2}{7}-\dfrac{2}{5}+\dfrac{5}{7}-\dfrac{3}{5}\)

\(=\left(\dfrac{23}{7}+\dfrac{5}{7}\right)-\left(\dfrac{2}{5}+\dfrac{3}{5}\right)\)

\(=4-1\)

\(=3\)

b) \(5\dfrac{4}{7}-\dfrac{4}{9}+1\dfrac{3}{7}-\dfrac{5}{9}\)

\(=\left(\dfrac{32}{7}+\dfrac{10}{7}\right)-\left(\dfrac{4}{9}+\dfrac{5}{9}\right)\)

\(=6-1\)

\(=5\)

a) \(3\dfrac{2}{7}-\dfrac{2}{5}+\dfrac{5}{7}-\dfrac{3}{5}\)

\(=\left(\dfrac{23}{7}+\dfrac{5}{7}\right)-\left(\dfrac{2}{5}+\dfrac{3}{5}\right)\)

\(=4-1\)

\(=3\)

b) \(5\dfrac{4}{7}-\dfrac{4}{9}+1\dfrac{3}{7}-\dfrac{5}{9}\)

\(=\left(\dfrac{39}{7}+\dfrac{10}{7}\right)-\left(\dfrac{4}{9}+\dfrac{5}{9}\right)\)

\(=7-1\)

\(=6\)

Ta có: 3/5 < 1 và 9/7 > 1
Vậy: 3/5 < 9/7

3/5<9/7

3/5<1

9/7>1

mn giúp mình đi

a: \(=11+\dfrac{3}{13}-2-\dfrac{4}{7}-5-\dfrac{3}{13}=4-\dfrac{4}{7}=\dfrac{24}{7}\)

b: \(=\dfrac{11}{2}\cdot\dfrac{15}{4}=\dfrac{165}{8}\)

c: \(=10+\dfrac{2}{9}+2+\dfrac{3}{5}-6-\dfrac{2}{9}=6+\dfrac{3}{5}=\dfrac{33}{5}\)

d: \(=6+\dfrac{4}{9}+3+\dfrac{7}{11}-4-\dfrac{4}{9}=5+\dfrac{7}{11}=\dfrac{62}{11}\)

1)2/6=14/42                  2)5/9=25/45

  4/7=24/42                       6/5=54/45

3)7/2=28/8                    4)4/9=28/63

5/8 =5/8                            8/7=72/63

CÁC Ý CÒN LẠI BẠN LÀM NỐT NHÉ

2/6 và 4/7

Mẫu số chung:42

\(\frac{2}{6}=\frac{2\times7}{6\times7}=\frac{14}{42}\);\(\frac{4}{7}=\frac{4\times6}{7\times6}=\frac{24}{42}\)

5/9 và 6/5

Mẫu số chung: 45

\(\frac{5}{9}=\frac{5\times5}{9\times5}=\frac{25}{45}\); \(\frac{6}{5}=\frac{6\times9}{5\times9}=\frac{54}{45}\)

7/2 và 5/8

Mẫu số chung:8

\(\frac{7}{2}=\frac{7\times4}{2\times4}=\frac{28}{8}\);\(\frac{5}{8}\)

4/9 và 8/7

Mẫu số chung: 63

\(\frac{4}{9}=\frac{4\times7}{9\times7}=\frac{28}{63};\frac{8}{7}=\frac{8\times9}{7\times9}=\frac{72}{63}\)

9/4 và 2/6

Mẫu số chung:12

\(\frac{9}{4}=\frac{9\times3}{4\times4}=\frac{27}{12};\frac{2}{6}=\frac{2\times2}{6\times2}=\frac{4}{12}\)

4/3 và 9/4

Mẫu số chung:12

\(\frac{4}{3}=\frac{4\times4}{3\times4}=\frac{16}{12}\);\(\frac{9}{4}=\frac{9\times3}{4\times3}=\frac{27}{12}\)

a: 4/3=32/24

5/8=15/24

b: 4/5=36/45

5/9=25/45

c: 4/9=16/36

7/12=21/36

d: 1/2=6/12

2/3=8/12

7/12=7/12

4/3 và 5/8 

\(\dfrac{4}{3}=\dfrac{4x8}{3x8}=\dfrac{32}{24}\)

 \(\dfrac{5}{8}=\dfrac{5x3}{8x3}=\dfrac{15}{24}\)

4/5 và 5/9 

\(\dfrac{4}{5}=\dfrac{4x9}{5x9}=\dfrac{36}{45}\)

\(\dfrac{5}{9}=\dfrac{5x5}{9x5}=\dfrac{25}{45}\)

4/9 và 7/12 

  \(\dfrac{4}{9}=\dfrac{4x12}{9x12}=\dfrac{48}{108}\)

\(\dfrac{7}{12}=\dfrac{7x9}{12x9}=\dfrac{63}{108}\)

1/2 ; 2/3 và 7/12 

\(\dfrac{1}{2}=\dfrac{1x6}{2x6}=\dfrac{6}{12}\)

\(\dfrac{2}{3}=\dfrac{2x4}{3x4}=\dfrac{8}{12}\)

\(\dfrac{7}{12}=\dfrac{7x1}{12x1}=\dfrac{7}{12}\)

ko

\(C=\dfrac{3}{7}\times\dfrac{5}{9}+\dfrac{4}{9}\times\dfrac{3}{7}-\dfrac{3}{7}\)

\(=\dfrac{3}{7}\times\dfrac{5}{9}+\dfrac{4}{9}\times\dfrac{3}{7}-\dfrac{3}{7}\times1\)

\(=\dfrac{3}{7}\times\left(\dfrac{5}{9}+\dfrac{4}{9}-1\right)\)

\(=\dfrac{3}{7}\times0=0\)

\(D=8\dfrac{2}{7}-\left(3\dfrac{4}{9}+4\dfrac{2}{7}\right)\)

\(=\dfrac{58}{7}-\left(\dfrac{31}{9}+\dfrac{30}{7}\right)\)

\(=\dfrac{58}{7}-\dfrac{31}{9}-\dfrac{30}{7}\)

\(=\left(\dfrac{58}{7}-\dfrac{30}{7}\right)-\dfrac{31}{9}\)

\(=4-\dfrac{31}{9}=\dfrac{36}{9}-\dfrac{31}{9}\)

\(=\dfrac{5}{9}\)

a) \(\dfrac{3}{5}-\dfrac{3}{5}.\dfrac{2}{3}=\dfrac{3}{5}-\left(\dfrac{3}{5}.\dfrac{2}{3}\right)=\dfrac{3}{5}-\dfrac{2}{5}=\dfrac{1}{5}\) 

b) \(\dfrac{-7}{9}.\dfrac{11}{15}-\dfrac{4}{15}.\dfrac{-7}{9}-\dfrac{7}{9}=\dfrac{-7}{9}.\left(\dfrac{11}{15}-\dfrac{4}{15}\right)-\dfrac{7}{9}=\dfrac{-7}{9}.\dfrac{7}{15}-\dfrac{7}{9}=-\dfrac{49}{135}-\dfrac{7}{9}=-\dfrac{154}{135}\)

d) \(3\dfrac{1}{7}-\left(4\dfrac{1}{2}+5\dfrac{3}{7}\right)=\dfrac{22}{7}-\left(\dfrac{9}{2}+\dfrac{38}{7}\right)=\dfrac{22}{7}-\left(\dfrac{63}{14}+\dfrac{76}{14}\right)=\dfrac{22}{7}-\dfrac{139}{14}=\dfrac{44}{14}-\dfrac{139}{14}=-\dfrac{95}{14}\)

Đề yêu cầu gì vậy em?

đây là so sánh hay quy đồng v 

\(\dfrac{3}{5}v\text{à}\dfrac{7}{3}\\ MSC:15\\ \dfrac{3}{5}=\dfrac{3\times3}{5\times3}=\dfrac{9}{15};\dfrac{7}{3}=\dfrac{7\times5}{5\times3}=\dfrac{35}{15}\\ 9< 35\\ \Rightarrow\dfrac{3}{5}< \dfrac{7}{5}\\ \dfrac{9}{10}v\text{à}\dfrac{5}{4}\\MSC:20\\ \dfrac{9\times2}{10\times2}=\dfrac{18}{20};\dfrac{5}{4}=\dfrac{5\times5}{4\times5}=\dfrac{25}{20}\\ 18< 25\\ \Rightarrow\dfrac{9}{10}< \dfrac{5}{4}\\ \dfrac{2}{7}v\text{à}\dfrac{5}{4}\\ MSC:28\\ \dfrac{2}{7}=\dfrac{2\times4}{7\times4}=\dfrac{8}{28};\dfrac{5}{4}=\dfrac{5\times7}{4\times7}=\dfrac{35}{28}\\ 8< 35\\ \dfrac{2}{7}< \dfrac{5}{4}\\ \dfrac{8}{9}v\text{à}\dfrac{11}{6}\\ MSC:18\\ \dfrac{8\times2}{9\times2}=\dfrac{16}{18};\dfrac{11}{6}=\dfrac{11\times3}{6\times3}=\dfrac{33}{18}\\ 16< 33\\ \Rightarrow\dfrac{8}{9}< \dfrac{11}{6}\)

Quy đồng hả ?

\(\dfrac{3}{5}và\dfrac{7}{3}=\dfrac{3}{5}=\dfrac{3\times3}{5\times3}=\dfrac{9}{15};\dfrac{7}{3}=\dfrac{7\times5}{3\times5}=\dfrac{35}{15}\)

\(\dfrac{9}{10}và\dfrac{5}{4}=\dfrac{9}{10}=\dfrac{9\times2}{10\times2}=\dfrac{18}{20};\dfrac{5}{4}=\dfrac{5\times5}{4\times5}=\dfrac{25}{20}\)

\(\dfrac{2}{7}và\dfrac{5}{4}=\dfrac{2}{7}=\dfrac{2\times4}{7\times4}=\dfrac{8}{28};\dfrac{5}{4}=\dfrac{5\times7}{4\times7}=\dfrac{35}{28}\)

\(\dfrac{8}{9}và\dfrac{11}{6}=\dfrac{8}{9}=\dfrac{8\times2}{9\times2}=\dfrac{16}{18};\dfrac{11}{6}=\dfrac{11\times3}{6\times3}=\dfrac{33}{18}\)

\(\dfrac{6}{5}và\dfrac{13}{8}=\dfrac{6\times8}{5\times8}=\dfrac{48}{40};\dfrac{13}{8}=\dfrac{13\times5}{8\times5}=\dfrac{65}{40}\)

\(\dfrac{4}{5}và\dfrac{3}{2}=\dfrac{4}{5}=\dfrac{4\times2}{5\times2}=\dfrac{8}{10};\dfrac{3}{2}=\dfrac{3\times5}{2\times5}=\dfrac{15}{10}\)

\(\dfrac{5}{12}và\dfrac{7}{8}=\dfrac{5}{12}=\dfrac{5\times2}{12\times2}=\dfrac{10}{24};\dfrac{7}{8}=\dfrac{7\times3}{8\times3}=\dfrac{21}{24}\)

\(\dfrac{11}{4}và\dfrac{13}{6}=\dfrac{11}{4}=\dfrac{11\times3}{4\times3}=\dfrac{33}{12};\dfrac{13}{6}=\dfrac{13\times2}{6\times2}=\dfrac{26}{12}\)

\(a,\dfrac{4}{9};\dfrac{5}{7}\left(MSC=63\right)\)

\(\dfrac{4}{9}=\dfrac{4\times7}{9\times7}=\dfrac{28}{63}\)

\(\dfrac{5}{7}=\dfrac{5\times9}{7\times9}=\dfrac{45}{63}\)

\(b,\dfrac{7}{12};\dfrac{3}{4}\left(MSC=12\right)\)

\(\dfrac{7}{12}\) giữ nguyên

\(\dfrac{3}{4}=\dfrac{3\times3}{4\times3}=\dfrac{9}{12}\)

\(c,\dfrac{13}{27};\dfrac{1}{3}\) và \(\dfrac{5}{9}\left(MSC=27\right)\)

\(\dfrac{13}{27}\) giữ nguyên

\(\dfrac{1}{3}=\dfrac{1\times9}{3\times9}=\dfrac{9}{27}\)

\(\dfrac{5}{9}=\dfrac{5\times3}{9\times3}=\dfrac{15}{27}\)