\(\frac{9}{8}>\frac{8}{9}\)

\(\frac{16}{23}>\frac{16}{25}\)

\(\frac{8}{11}< \frac{8}{10}\)

\(\frac{10}{13}>\frac{19}{26}\)

\(\frac{13}{15}< \frac{11}{10}\)

\(\frac{11}{9}=\frac{44}{36}\)

9/8 > 8/9 

16/23 > 16/25 

8/11 < 8/10 

10/13 > 19/26 

13/15 < 11/10 

11/9 = 44/36 

Tham khảo nha !

Chúc bạn học giỏi !

\(\frac{1}{2}:\frac{3}{2}:\frac{5}{4}:\frac{6}{5}:\frac{7}{6}:\frac{8}{7}\)

\(=\frac{1}{2}\cdot\frac{2}{3}\cdot\frac{4}{5}\cdot\frac{5}{6}\cdot\frac{6}{7}\cdot\frac{7}{8}\)

\(=\frac{1\cdot\left(2\cdot5\cdot6\cdot7\right)}{8\cdot3\cdot\left(2\cdot5\cdot6\cdot7\right)}\)

\(=\frac{1}{24}\)

\(\frac{1}{2}\cdot\frac{2}{3}\cdot\frac{3}{4}\cdot\frac{4}{5}\cdot\frac{5}{6}\cdot\frac{6}{7}\cdot\frac{7}{8}\cdot\frac{8}{9}\cdot\frac{9}{10}\)

\(=\frac{1\cdot\left(2\cdot3\cdot4\cdot5\cdot6\cdot7\cdot8\cdot9\right)}{\left(2\cdot3\cdot4\cdot5\cdot6\cdot7\cdot8\cdot9\right)\cdot10}\)

\(=\frac{1}{10}\)

1. \(\frac{7}{8}\) và \(\frac{8}{7}\)

• \(7 \times 7 = 49\)
• \(8 \times 8 = 64\)
  ⇒ \(\frac{7}{8} < \frac{8}{7}\).

2. \(\frac{5}{6}\) và \(\frac{6}{5}\)

• \(5 \times 5 = 25\)
• \(6 \times 6 = 36\)
  ⇒ \(\frac{5}{6} < \frac{6}{5}\).

3. \(\frac{5}{9}\) và \(\frac{6}{9}\)

• Mẫu giống nhau, so tử: \(5 < 6\).
  ⇒ \(\frac{5}{9} < \frac{6}{9}\).

(Chú ý: bạn ghi “\(\frac{9}{5}\)” và “\(\frac{9}{6}\)” thì khác nhé, nhưng theo mình đọc thì là \(\frac{5}{9}\) và \(\frac{6}{9}\)). Bạn xác nhận lại?

4. \(\frac{7}{2}\) và \(\frac{5}{2}\)

• Mẫu giống nhau, so tử: \(7 > 5\).
  ⇒ \(\frac{7}{2} > \frac{5}{2}\).

5. \(\frac{8}{5}\) và \(\frac{8}{9}\)

• Cùng tử 8, so mẫu: \(5 < 9\) ⇒ phân số có mẫu nhỏ hơn thì lớn hơn.
  ⇒ \(\frac{8}{5} > \frac{8}{9}\).

6. \(\frac{12}{34}\) và \(\frac{12}{45}\)

• Cùng tử 12, so mẫu: \(34 < 45\) ⇒ phân số có mẫu nhỏ hơn thì lớn hơn.
  ⇒ \(\frac{12}{34} > \frac{12}{45}\).

✅ Kết quả:

\(\frac{7}{8} < \frac{8}{7} , \frac{5}{6} < \frac{6}{5} , \frac{5}{9} < \frac{6}{9} , \frac{7}{2} > \frac{5}{2} , \frac{8}{5} > \frac{8}{9} , \frac{12}{34} > \frac{12}{45} .\)

\(\frac{12}{20}\)= \(\frac{6}{10}\)= \(\frac{3}{5}\)

\(\frac{3}{4}\)= \(\frac{9}{12}\)= \(\frac{12}{16}\)= \(\frac{15}{20}\)

\(\frac{75}{45}\)= \(\frac{15}{9}\)= \(\frac{5}{3}\)

\(\frac{3}{4}\)= \(\frac{18}{24}\)= \(\frac{12}{16}\)

12/20 = 6/10 = 3/5

3/4 = 9/12 = 12/16 = 15/20

75/45 = 15/9 = 5/3

3/4 = 18/24 = 12/16

Tk mk nha

\(a.\frac{1}{2\cdot3}+\frac{1}{3\cdot4}+\frac{1}{4\cdot5}=\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+\frac{1}{4}-\frac{1}{5}\)

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

\(=\frac{3}{10}\)

\(b.\frac{2}{2\cdot3}+\frac{2}{3\cdot4}+\frac{2}{4\cdot5}\)

\(=2\left(\frac{1}{2\cdot3}+\frac{1}{3\cdot4}+\frac{1}{4\cdot5}\right)\)

\(=2\cdot\left(\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+\frac{1}{4}-\frac{1}{5}\right)\)

\(=2\cdot\left(\frac{1}{2}-\frac{1}{5}\right)\)

\(=2\cdot\frac{3}{10}=\frac{3}{5}\)

\(c.\frac{1}{2\cdot3}+\frac{2}{3\cdot5}+\frac{3}{5\cdot8}\)

\(=\frac{1}{6}+\frac{2}{15}+\frac{3}{40}\)

\(=\frac{3}{8}\)

k nha 500 AE

a, \(\frac{1}{2\times3}+\frac{1}{3\times4}+\frac{1}{4\times5}\)

\(=\frac{3-2}{2\times3}+\frac{4-3}{3\times4}+\frac{5-4}{4\times5}\)

\(=\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+\frac{1}{4}-\frac{1}{5}\)

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

\(=\frac{3}{10}\)

b, \(\frac{2}{2\times3}+\frac{2}{3\times4}+\frac{2}{4\times5}\)

\(=\frac{3-2}{2\times3}+\frac{4-3}{3\times4}+\frac{5-4}{4\times5}\)

\(=\left(\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+\frac{1}{4}-\frac{1}{5}\right)\times\frac{2}{1}\)

\(=\left(\frac{1}{2}-\frac{1}{5}\right)\times\frac{2}{1}\)

\(=\frac{3}{10}\times\frac{2}{1}\)

\(=\frac{3}{5}\)

c,  \(\frac{1}{2\times3}+\frac{2}{3\times5}+\frac{3}{5\times8}\)

 \(=\frac{3-2}{2\times3}+\frac{5-3}{3\times5}+\frac{8-5}{5\times8}\)

\(=\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{5}+\frac{1}{5}-\frac{1}{8}\)

\(=\frac{1}{2}-\frac{1}{8}\)

\(=\frac{3}{8}\)

\(\frac{3}{4}.\frac{8}{9}.\frac{15}{16}.\frac{24}{25}.\frac{35}{36}\)

\(=\frac{3.2.4.3.5.4.6.5.7}{2.2.3.3.4.4.5.5.6.6}=\frac{7}{2.6}\)

\(=\frac{7}{12}\)

\(=\frac{1\cdot3\cdot2\cdot4\cdot3\cdot5\cdot4\cdot6\cdot5\cdot7}{2\cdot2\cdot3\cdot3\cdot4\cdot4\cdot5\cdot5\cdot6\cdot6}\)  

\(=\frac{1\cdot7}{2\cdot6}\)   

\(=\frac{7}{12}\)

X bằng \(\frac{12}{13}\)

\(\frac{12}{13}\)chắc chắn 100% luôn !

Chúc bạn học giỏi !

a)=7/8

b)=2/3

c)=11/24

\(a,\frac{4}{5}\times\frac{a}{b}=\frac{7}{10}\)

               \(\frac{a}{b}=\frac{7}{10}:\frac{4}{5}\)

               \(\frac{a}{b}=\frac{7}{10}\times\frac{5}{4}\)

                \(\frac{a}{b}=\frac{7}{8}\)

\(b,\frac{1}{3}:\frac{a}{b}=\frac{2}{3}:\frac{4}{3}\)

    \(\frac{1}{3}:\frac{a}{b}=\frac{2}{3}\times\frac{3}{4}\)

     \(\frac{1}{3}:\frac{a}{b}=\frac{1}{2}\)

            \(\frac{a}{b}=\frac{1}{3}:\frac{1}{2}\)

            \(\frac{a}{b}=\frac{1}{3}\times2\)

             \(\frac{a}{b}=2\)

\(c,\frac{a}{b}+\frac{3}{8}=\frac{5}{6}\)

               \(\frac{a}{b}=\frac{5}{6}-\frac{3}{8}\)

                \(\frac{a}{b}=\frac{11}{24}\)