\(\dfrac{121212}{131313}=\dfrac{121212:10101}{131313:10101}=\dfrac{12}{13}=1-\dfrac{1}{13}\)

\(\dfrac{1313}{1414}=\dfrac{1313:101}{1414:101}=\dfrac{13}{14}=1-\dfrac{1}{14}\)

Vì \(\dfrac{1}{13}>\dfrac{1}{14}\) nên \(\dfrac{12}{13}< \dfrac{13}{14}\) hay \(\dfrac{1212}{1313}< \dfrac{1313}{1414}\)

b) \(\dfrac{1717}{2525}=\dfrac{1717:101}{2525:101}=\dfrac{17}{25}=\dfrac{51}{75}\)

\(\dfrac{515151}{727272}=\dfrac{515151:10101}{727272:10101}=\dfrac{51}{72}\)

Vì \(\dfrac{51}{75}< \dfrac{51}{72}\) nên \(\dfrac{17}{25}< \dfrac{51}{72}\) hay \(\dfrac{1717}{2525}< \dfrac{515151}{727272}\)

a) \(\dfrac{1212}{1313}=\dfrac{101x12}{101x13}=\dfrac{12}{13}< \dfrac{12+1}{13+1}=\dfrac{13}{14}\)

\(\dfrac{1313}{1414}=\dfrac{101x13}{101x14}=\dfrac{13}{14}\)

Vậy \(\dfrac{1212}{1313}< \dfrac{1313}{1414}\)

Làm tương tự câu b

a) 1212/1313 = 12/13 = 1 - 1/13

1313/1414 = 13/14 = 1 - 1/14

Do 13 < 14 nên 1/13 > 1/14

⇒ 1 - 1/13 < 1 - 1/14

Vậy 1212/1313 < 1313/1414

b) 1717/2525 = 17/25

515151/727272 = 51/72 = 17/24

Do 25 > 24 nên 17/25 < 17/24

Vậy 1717/2525 < 515151/727272

a) \(\dfrac{12}{14}=\dfrac{1200}{1400}=\dfrac{1400-200}{1400}=1-\dfrac{200}{1400}\)

\(\dfrac{1212}{1414}=\dfrac{1414-200}{1414}=1-\dfrac{200}{1414}\)

vì \(\dfrac{200}{1414}< \dfrac{200}{1400}\)

Nên \(1-\dfrac{200}{1400}< 1-\dfrac{200}{1414}\)

Vậy \(\dfrac{12}{14}< \dfrac{1212}{1414}\)

Các bài sau tương tự

Giải cho mình cho mình với sáng mai mình phải nộp bài này rồi

1.5/4,4/5,7/10,1/2

2.Bình chạy nhanh nâhts,An chạy chậm nhất

3.11/20,3/5,13/20,7/10

4.=,<,<,>

5.15/100,16/100,17/100,18/100,19/100

k mình nha :)

ta có: \(\frac{1717}{2525}=\frac{17}{25}\)

\(\frac{515151}{727272}=\frac{51}{72}=\frac{17}{24}>\frac{17}{25}\)

\(\Rightarrow\frac{1717}{2525}< \frac{515151}{727272}\)

Ta có:

\(\frac{1717}{2525}=\frac{17}{25}\)

\(\frac{515151}{727272}=\frac{51}{72}=\frac{17}{24}\)

Mà: \(\frac{17}{25}< \frac{17}{24}\)

\(\Rightarrow\frac{1717}{2525}< \frac{515151}{727272}\)

tks 2 bạn nha

a )   − 1212 − 2424 = ( − 1212 ) : ( − 1212 ) ( − 2424 ) : ( − 1212 ) = 1 2

b )   120120 − 240240 = 120120 : ( − 120120 ) − 240240 : ( − 120120 ) = − 1 2

c)  1313 − 1414 = 1313 : ( − 101 ) − 1414 : ( − 101 ) = − 13 14

\(\frac{1717}{2525}=\frac{17}{25};\frac{515151}{727272}=\frac{51}{72}\)

Ta có : \(\frac{17}{25}

\(\frac{1717}{2525}=\frac{17}{25}\)

\(\frac{515151}{727272}=\frac{17}{24}\)

Cùng tử, ta có : 25 > 24

=> \(\frac{17}{25}