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

\(\dfrac{77}{99}=\dfrac{77\div11}{99\div11}=\dfrac{7}{9}\)

\(\dfrac{777}{999}=\dfrac{777\div111}{999\div111}=\dfrac{7}{9}\)

\(\dfrac{7777}{9999}=\dfrac{7777\div1111}{9999\div1111}=\dfrac{7}{9}\)

\(\Rightarrow\dfrac{7}{9}=\dfrac{77}{99}=\dfrac{777}{999}=\dfrac{7777}{9999}\)

\(\dfrac{77}{99}\) = \(\dfrac{77:11}{99:11}\) = \(\dfrac{7}{9}\)

\(\dfrac{777}{999}\) = \(\dfrac{777:111}{999:111}\) = \(\dfrac{7}{9}\)

\(\dfrac{7777}{9999}\) = \(\dfrac{7777:1111}{9999:1111}\) = \(\dfrac{7}{9}\)

Từ những lập luận luận trên ta có:

\(\dfrac{7}{9}\) = \(\dfrac{77}{99}\) = \(\dfrac{777}{999}\) = \(\dfrac{7777}{9999}\) (đpcm)

Ta có:

77/99=7.11/9.11=7/9

777/999=7.111/9.111=7/9

=>7/9=77/99=777/999

nó đều có số 7 và 9

lỗi hình

phân số j mà có mỗi cái này zị 

a) ta có 77/99 = 7.11/9.11 = 7/9 (1)

777/999 = 7.111/9.111 = 7/9 (2) 

từ (1) , (2) => 77/99 = 777/999 = 7/9 => đpcm

b) 1313/1515 = 13.101/15.101 = 13/15 (1)

131313/151515 = 13.10101/15.10101 = 13/15 (2)

từ (1) và (2) => 1313/1515= 131313/151515 = 13/15 => đpcm

nhớ k mk nha!!

a) Ta có: \(\frac{77}{99}\)/\(\frac{11}{11}\)=\(\frac{7}{9}\), \(\frac{777}{999}\)/\(\frac{111}{111}\)=\(\frac{7}{9}\).Vì 7/9=7/9=7/9 nên 7/9=77/99=777/999. Thế là xong câu a

Ta có : \(\frac{77}{99}=\frac{77:11}{99:11}=\frac{7}{9};\frac{777}{999}=\frac{777:111}{999:111}=\frac{7}{9}\)

Mà : \(\frac{7}{9}=\frac{7}{9}=\frac{7}{9}\)

Vậy : \(\frac{7}{9}=\frac{77}{99}=\frac{777}{999}\)

Ta tách : \(\frac{77}{99}=\frac{77:11}{99:11}=\frac{7}{9}\)

\(\frac{777}{999}=\frac{777:111}{999:111}=\frac{7}{9}\)

\(\Rightarrow\frac{77}{99}=\frac{777}{999}\)

a ) 9 + 99 + 999 + ........ + 999...99 (có 10 chữ số 9)

= (10 - 1) + (100 - 1) + (1000 - 1) + ..... + (100...000 - 1) 

= (10 + 100 + 1000 + .... + 100...00 ) - (1 + 1 + .... + 1)

= 1111....1110 - 10

= 1111....1100 

Các ý khác tương tự nha !!!!!!!!!!!!!

_ \(\frac{7}{9}=\frac{7\times11}{9\times11}=\frac{7\times111}{9\times111}\Rightarrow\frac{7}{9}=\frac{77}{99}=\frac{777}{999}\)
_   \(\frac{13}{15}=\frac{13\times101}{15\times101}=\frac{13\times10101}{15\times10101}\Rightarrow\frac{13}{15}=\frac{1313}{1515}=\frac{131313}{151515}\)
_  \(\frac{20172017}{20072007}=\frac{20172017:10001}{20072007:10001}\Rightarrow\frac{20172017}{20072007}=\frac{2017}{2007}\)
_  \(\frac{123123}{456456}=\frac{123123:1001}{456456:1001}\Rightarrow\frac{123123}{456456}=\frac{123}{456}\)
~ Ủng hộ mk nha!~