ta có : `12/14 = 6/7`

`13/24=(13xx7)/(24xx7)= 91/168`

`6/7=(6xx24)/(7xx24)= 144/168`

mà : `91<144`

`=> 13/24 < 12/14`

\(\dfrac{13}{24}\) = \(\dfrac{13\times7}{24\times7}\) = \(\dfrac{91}{168}\)

\(\dfrac{12}{14}\) = \(\dfrac{12\times12}{14\times12}\) = \(\dfrac{144}{168}\)

\(\dfrac{91}{689}< \dfrac{144}{168}\)

\(\dfrac{13}{24}\) < \(\dfrac{12}{14}\)

a)  3 2 + − 4 3 = 1 6

1 10 + − 4 5 = − 7 10

Mà  1 6 > − 7 10 nên  3 2 + − 4 3 > 1 10 + − 4 5

b)  1 2 + 1 3 + 1 4 + 1 5 + 1 6 = 29 20 < 2

Nên  1 2 + 1 3 + 1 4 + 1 5 + 1 6 < 2

a: \(\frac{11}{32}>\frac{11}{33}=\frac13\)

\(\frac13=\frac{16}{48}>\frac{16}{49}\)

Do đó: \(\frac{11}{32}>\frac{16}{49}\)

b: \(\frac{46}{71}<\frac{46}{69}=\frac23\)

\(\frac23=\frac{38}{57}<\frac{38}{55}\)

Do đó: \(\frac{46}{71}<\frac{38}{55}\)

c: \(\frac{12}{47}>\frac{12}{48}=\frac14\)

\(\frac14=\frac{29}{116}>\frac{29}{117}\)

Do đó: \(\frac{12}{47}>\frac{29}{117}\)

d: \(\frac{18}{53}>\frac{18}{54}=\frac13\)

\(\frac13=\frac{34}{102}>\frac{34}{103}\)

Do đó: \(\frac{18}{53}>\frac{34}{103}\)

a) \(\dfrac{5}{9}< \dfrac{7}{9}\)

b) \(\dfrac{7}{6}>\dfrac{6}{6}\)

c) \(\dfrac{3}{14}< \dfrac{5}{14}\)

d) \(\dfrac{5}{8}< \dfrac{9}{8}\)

4/17 ; 4/15 ; 7/15 ; 7/12

4/17;4/15;7/15;7/12

4/17<4/15<7/15<7/12

D

D

`17/20 = 119/140`

`11/14=110/140`

`=> 119/140 > 110/140`

`=> 17/20 > 11/14`

\(\dfrac{17}{20}=\dfrac{17\cdot14}{20\cdot14}=\dfrac{238}{280}\)

\(\dfrac{11}{14}=\dfrac{11\cdot20}{14\cdot20}=\dfrac{220}{280}\)

mà 238>220

nên \(\dfrac{17}{20}>\dfrac{11}{14}\)

12/13 = 0.9230769231

11/14 = 0.7857142857

Vậy phân số 11/14 nhỏ hơn