cách nhanh nhất là bấm máy tính>>>

c) \(\dfrac{27}{26}\)và\(\dfrac{38}{37}\)

Ta có: \(\dfrac{27}{26}=1+\dfrac{1}{26}\); \(\dfrac{38}{37}=1+\dfrac{1}{37}\)

Vì \(\dfrac{1}{26}>\dfrac{1}{37}\) nên \(\dfrac{27}{26}>\dfrac{38}{37}\)

c: \(\dfrac{27}{26}-1=\dfrac{1}{26}\)

\(\dfrac{38}{37}-1=\dfrac{1}{37}\)

mà \(\dfrac{1}{26}>\dfrac{1}{37}\)

nên \(\dfrac{27}{26}>\dfrac{38}{37}\)

Ta có:

\(\frac{13}{38}>\frac{13}{39}=\frac{1}{3}\)

\(\frac{29}{88}< \frac{29}{87}=\frac{1}{3}\)

Áp dụng tính chất bắc cầu ta suy ra:

      \(\frac{13}{38}>\frac{1}{3}>\frac{29}{88}\)

\(\Rightarrow\frac{13}{38}>\frac{29}{88}\)

\(\Rightarrow\frac{-13}{38}< \frac{29}{-88}\)

Vậy .....

nhân chéo là được bạn ak đáp án là -13/38>29/-88

21/35=3/5; 12/20=3/5

=>21/35=12/20

24/35<1<21/7

35/49=5/7; 40/64=5/8

=>35/49>40/64

2424/4848=1/2

9/11=1-2/11

13/15=1-2/15

mà 2/11>2/15

nên 9/11<13/15

19/15>11/15

khó

ta có:-13/38<-13/39=-1/3(1)

29/-88>-29/87=-1/3(2)

từ (1) và (2) \(\Rightarrow\)-13/38<29/-88

\(\frac{-13}{38}>\frac{29}{-88}\)

\(\text{Cách nhanh nhất là ............bấm máy tính}\)

a:Cách 1: \(\frac{21}{35}=\frac{21:7}{35:7}=\frac35\)

\(\frac{12}{40}=\frac{12:4}{40:4}=\frac{3}{10}\)

mà \(\frac35>\frac{3}{10}\left(5<10\right)\)

nên \(\frac{21}{35}>\frac{12}{40}\)

Cách 2: \(\frac{21}{35}=\frac{21\times8}{35\times8}=\frac{168}{280}\)

\(\frac{12}{40}=\frac{12\times7}{40\times7}=\frac{84}{280}\)

mà 168>84

nên \(\frac{21}{35}>\frac{12}{40}\)

b: Cách 1: \(\frac{35}{49}=\frac{35:7}{49:7}=\frac57\)

\(\frac{40}{64}=\frac{40:8}{64:8}=\frac58\)

mà \(\frac57>\frac58\left(7<8\right)\)

nên \(\frac{35}{49}>\frac{40}{64}\)

Cách 2: \(\frac{35}{49}=\frac{35\times64}{49\times64}=\frac{2240}{3136}\)

\(\frac{40}{64}=\frac{40\times49}{64\times49}=\frac{1960}{3136}\)

mà 2240>1960

nên \(\frac{35}{49}>\frac{40}{64}\)

c: Cách 1: \(\frac{9}{11}=1-\frac{2}{11}\)

\(\frac{13}{15}=1-\frac{2}{15}\)

Ta có: 11<15

=>\(\frac{2}{11}>\frac{2}{15}\)

=>\(-\frac{2}{11}<-\frac{2}{15}\)

=>\(-\frac{2}{11}+1<-\frac{2}{15}+1\)

=>\(\frac{9}{11}<\frac{13}{15}\)

Cách 2: Ta có: \(\frac{9}{11}=\frac{9\times15}{11\times15}=\frac{135}{165}\)

\(\frac{13}{15}=\frac{13\times11}{15\times11}=\frac{143}{165}\)

mà 135<143

nên \(\frac{9}{11}<\frac{13}{15}\)

d: Cách 1: \(\frac{21}{7}=\frac{21\times5}{7\times5}=\frac{105}{35}\)

mà 105>24

nên \(\frac{21}{7}>\frac{24}{35}\)

cách 2: Ta có: \(\frac{21}{7}=3>1;1>\frac{24}{35}\)

Do đó: \(\frac{21}{7}>\frac{24}{35}\)

e: Cách 1: \(\frac12=\frac{1\times2424}{2\times2424}=\frac{2424}{4848}\)

Cách 2: \(\frac{2424}{4848}=\frac{2424:2424}{4848:2424}=\frac12\)

f: Vì 19>11

nên \(\frac{19}{15}>\frac{11}{15}\)

13 x 64 = 832

38 x 21 = 798

Do đó: 13 x 64 > 38 x 21

=> 13 x 64 x 1/64 x 1/38 > 38 x 21 x 1/64 x 1/38

=> 13/38 > 21/64

Ta có : 

\(\frac{13}{38}>\frac{13}{39}\left(38< 39\right)\)

\(\Rightarrow\frac{13}{38}>\frac{1}{3}\left(1\right)\)

\(\frac{21}{64}< \frac{21}{63}\left(64>63\right)\)

\(\Rightarrow\frac{21}{64}< \frac{1}{3}\left(2\right)\)

Từ \(\left(1\right);\left(2\right)\)

\(\Rightarrow\frac{21}{64}< \frac{1}{3}< \frac{13}{38}\)

\(\Rightarrow\frac{21}{64}< \frac{13}{38}\)

Vậy \(\frac{21}{64}< \frac{13}{38}\)

~ Ủng hộ nhé