rút gọn là được mà ! 

\(\frac{1}{2}\)

12×7×275×6×7×9​=(6×2)×7×(9×3)5×6×7×9​

Rút gọn \(6 , 7 , 9\):

\(= \frac{5}{2 \times 3} = \frac{5}{6} .\)

✅ Kết quả: \(\frac{5}{6}\).

a)

\(\frac{3 \times 4 \times 7}{12 \times 8 \times 9}\)

• Tử số = \(3 \times 4 \times 7 = 84\).
• Mẫu số = \(12 \times 8 \times 9 = 864\).

\(\frac{84}{864} = \frac{84 \div 12}{864 \div 12} = \frac{7}{72} .\)

✅ Kết quả: \(\frac{7}{72}\).

b)

\(\frac{4 \times 5 \times 6}{12 \times 10 \times 8}\)

• Tử số = \(4 \times 5 \times 6 = 120\).
• Mẫu số = \(12 \times 10 \times 8 = 960\).

\(\frac{120}{960} = \frac{1}{8} .\)

✅ Kết quả: \(\frac{1}{8}\).

c)

\(\frac{5 \times 6 \times 7}{12 \times 14 \times 15}\)

• Tử số = \(5 \times 6 \times 7 = 210\).
• Mẫu số = \(12 \times 14 \times 15 = 2520\).

\(\frac{210}{2520} = \frac{1}{12} .\)

✅ Kết quả: \(\frac{1}{12}\).

👉 Kết quả cuối cùng:

• a) \(\frac{7}{72}\)
• b) \(\frac{1}{8}\)
• c) \(\frac{1}{12}\)

\(a,\frac{3\times4\times7}{12\times8\times9}\)

\(=\frac{3\times4\times7}{3\times4\times8\times9}\)

\(=\frac{7}{72}\)

\(b,\frac{4\times5\times6}{12\times10\times8}\)

\(=\frac{4\times5\times3\times2}{4\times3\times5\times2\times8}\)

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

\(c,\frac{5\times6\times7\times9}{12\times7\times27}\)

\(=\frac{5\times6\times7\times9}{6\times2\times7\times9\times3}\)

\(=\frac{5}{6}\)

\(d,\frac{5\times6\times7}{12\times14\times15}\)

\(=\frac{5\times6\times7}{6\times2\times7\times2\times5\times3}\)

\(=\frac{1}{12}\)

a) \(\frac{3\times4\times7}{12\times8\times9}=\frac{3\times4\times7}{3\times4\times8\times9}=\frac{7}{8\times9}=\frac{7}{72}\)

b) \(\frac{4\times5\times6}{12\times10\times8}=\frac{4\times5\times6}{6\times2\times2\times5\times4\times2}=\frac{1}{2\times2\times2}=\frac{1}{8}\)

c) \(\frac{5\times6\times7\times9}{12\times7\times27}=\frac{5\times6\times9}{12\times27}=\frac{5\times6\times9}{2\times6\times3\times9}=\frac{5}{2\times3}=\frac{5}{6}\)

d) \(\frac{5\times6\times7}{12\times14\times15}=\frac{5\times6\times7}{2\times6\times2\times7\times3\times5}=\frac{1}{2\times2\times3}=\frac{1}{12}\)

a) \(\frac{2\cdot3\cdot5}{70}=\frac{30}{70}=\frac{3}{7}\)

b) \(\frac{2\cdot6\cdot11}{33\cdot24}=\frac{2\cdot6\cdot11}{3\cdot11\cdot2\cdot2\cdot6}=\frac{1}{6}\)

c) \(\frac{21\cdot45}{9\cdot7\cdot5\cdot3}=\frac{3\cdot7\cdot5\cdot9}{9\cdot7\cdot5\cdot3}=1\)

                          Chúc bạn học tốt.

a)\(\frac{2x3x5}{70}=\frac{1x3x5}{35}=\frac{1x3x1}{7}=\frac{3}{7}\)

b)\(\frac{2x6x11}{33x24}=\frac{2x6x1}{3x24}=\frac{2x1x1}{3x4}=\frac{1x1x1}{3x2}=\frac{1}{6}\)

c)\(\frac{21x45}{9x7x5x3}=\frac{3x5}{1x1x5x3}=\frac{1x1}{1x1x1x1}=1\)

\(=\frac{47}{6}\)

Ta thấy :

1/1x2 = 1/1 - 1/2

1/2x3 = 1/2 - 1/3 

....

=>( 1/1x2 + 1/2x3 + 1/3x4 + 1/5x6 ) x 10 - x = ( 1/1 - 1/2 + 1/2 - 1/3 + 1/3 - 1/4 + 1/4 - 1/5 + 1/5 - 1/6 ) x 10 - x

= ( 1/1 - 1/6 ) x 10 - x =0

 5/6 x 10 - x = 0 

 25/3 - x = 0

=> x = 25/3

dau . la dau x

a/ 1.3.2.4.3.5.4.6.5.7/2.2.3.3.4.4.5.5.6.6=1.7/2.6=7/12

b/ ab.aba=abab

        aba=abab:ab

        aba=101

=>a=1     b=0

aabb : ab = 99 hay ab x 99 = aabb hay  ab x100 – ab = aabb

Ta có phép tính

                  __  ab00

                      ___ab___

                        aabb

 b=0 hoặc b=5

Nếu b=0 thì    a000 – a0 = aa00  (sai)

Nếu b=5 thì  

                   __  a500

                        __a5___

                        aa55

            a=4

c) thay a=7/6 b=6/5 thi 3 x a + 4 : b - 5/12=3.7/6+4.6/5-5/12=7/2+24/5-5/12=210/60+288/60-25/60=473/60

**** nha

\(\frac{1.3.2.4.3.5.4.6.5.7}{2.2.3.3.4.4.5.5.6.6}=\frac{\left(2.3.4.5.6\right).\left(3.4.5.7\right)}{\left(2.3.4.5.6\right).\left(2.3.4.5.6\right)}=\frac{7}{12}\)

\(A=\frac{1}{1\cdot2}+\frac{1}{2\cdot3}+\frac{1}{3\cdot4}+...+\frac{1}{2004\cdot2005}+\frac{1}{2005\cdot2006}\)

\(A=\frac{1}{1}-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+...+\frac{1}{2004}-\frac{1}{2005}+\frac{1}{2005}-\frac{1}{2006}\)

\(A=1-\frac{1}{2006}=\frac{2005}{2006}\)

\(A=\frac{1}{1.2}+\frac{1}{2.3}+...+\frac{1}{2005.2006}\)

\(\Rightarrow A=1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+...+\frac{1}{2005}-\frac{1}{2006}\)

\(\Rightarrow A=1-\frac{1}{2006}\)

\(\Rightarrow A=\frac{2005}{2006}\)

Chịu

Thực hiện phép chịu...

    Bài 1 :

    A = 1 - 1/2 + 1/2 - 1/4 + 1/4 - 1/8 + 1/8 - 1/16 + ... + 1/32 - 1/64

    A = 1 - 1/64

    A = 63/64

a)=7/8

b)=2/3

c)=11/24

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

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

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

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

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

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

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

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

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

             \(\frac{a}{b}=2\)

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

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

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