Dùng tính chất \(\frac{a}{b}=\frac{c}{d}\Leftrightarrow ad=bc\)  nhé!

Nhớ là phải rút gọn tối giản trước cho đơn giản nhé!

\(a,\)Ta có

  \(\frac{12}{132}=\frac{12:12}{132:12}=\frac{1}{11}\)

\(\frac{9}{99}=\frac{9:9}{99:9}=\frac{1}{11}\)

Mà \(\frac{1}{11}=\frac{1}{11}\)

\(\Rightarrow\frac{12}{132}=\frac{9}{99}\)

\(b,\)Ta có :

\(\frac{1717}{2323}=\frac{1717:101}{2323:101}=\frac{17}{23}\)

Mà \(\frac{17}{23}=\frac{17}{23}\)

\(\Rightarrow\frac{1717}{2323}=\frac{17}{23}\)

\(c,\)Ta có :

\(\frac{36}{84}=\frac{36:12}{84:12}=\frac{3}{7}\)

\(\frac{42}{98}=\frac{42:14}{98:14}=\frac{3}{7}\)

Vì \(\frac{3}{7}=\frac{3}{7}\)

\(\Rightarrow\frac{36}{84}=\frac{42}{98}\)

\(\frac{23232323}{99999999}=\frac{23\cdot1010101}{99\cdot1010101}=\frac{23}{99}\)

\(\frac{2323}{9999}=\frac{23\cdot101}{99\cdot101}=\frac{23}{99}\)

\(\frac{232323}{999999}=\frac{23\cdot10101}{99\cdot10101}=\frac{23}{99}\)

Vậy các phân số đã cho ở đề bài bằng nhau
 

\(\frac{2323}{9999}=\frac{2323:101}{9999:101}=\frac{23}{99}\)(1)

\(\frac{232323}{999999}=\frac{232323:10101}{999999:10101}=\frac{23}{99}\)(2)

Từ (1) và (2) =>\(\frac{23}{99}=\frac{2323}{9999}=\frac{232323}{999999}\)

rút gọn hết đi,

\(\frac{2323}{9999}=\frac{23.101}{99.101}=\frac{23}{99}\)

\(\frac{232323}{999999}=\frac{23.10101}{99.10101}=\frac{23}{99}\)

KL 3 phân số = nhau

25/53=25*101/53*101=2525/5353

25/53=25*1001/53*10101=252525/535353

=)25/53=2525/5353=252525/535353

y b) tuong tu nhe

duyet nha

Tôi ở hiểu y  na

a) Có 143/363 = 13/33
=> 13/33 = 143/363
b)Có 12/27 = 4/9
         1212/2727 = 4/9
=> 12/27 = 1212/2727 

a) Ta có:   \(\dfrac{13}{33}=\dfrac{143}{363}\) 

     Mà \(\dfrac{143}{363}=\dfrac{143}{363}\)

     Vậy \(\dfrac{13}{33}=\dfrac{143}{363}\)

b) Ta có: \(\dfrac{12}{27}=\dfrac{1212}{2727}\)

     Mà \(\dfrac{1212}{2727}=\dfrac{1212}{2727}\)

     Vậy \(\dfrac{12}{27}=\dfrac{1212}{2727}\)

a: \(d=UCLN\left(n+1;n+2\right)\)

\(\Leftrightarrow n+2-n-1⋮d\)

hay d=1

b: \(d=UCLN\left(2n+2;2n+3\right)\)

\(\Leftrightarrow2n+3-2n-2⋮d\)

hay d=1

k hộ mik nhé

TL

k hộ mik

Hoktot~

a: \(\frac{13}{27}=\frac{1}{27}+\frac{12}{27}=\frac{1}{27}+\frac49=\frac{1}{27}+\frac{3+1}{9}=\frac{1}{27}+\frac39+\frac19\)

\(=\frac{1}{27}+\frac19+\frac13\)

b: \(\frac{15}{16}=\frac{1}{16}+\frac{14}{16}\)

\(=\frac{1}{16}+\frac78=\frac{1}{16}+\frac{4+3}{8}=\frac{1}{16}+\frac48+\frac38\)

\(=\frac{1}{16}+\frac12+\frac{2+1}{8}=\frac{1}{16}+\frac12+\frac14+\frac18\)

c: \(\frac{39}{54}=\frac{38+1}{54}=\frac{38}{54}+\frac{1}{54}\)

\(=\frac{1}{54}+\frac{19}{27}=\frac{1}{54}+\frac{1}{27}+\frac{18}{27}\)

\(=\frac{1}{54}+\frac{1}{27}+\frac23=\frac{1}{54}+\frac{1}{27}+\frac46=\frac{1}{54}+\frac{1}{27}+\frac36+\frac16\)

\(=\frac{1}{54}+\frac{1}{27}+\frac16+\frac12\)

d: \(\frac{13}{42}=\frac{6+7}{42}=\frac{6}{42}+\frac{7}{42}=\frac17+\frac16\)