A > B

A } B

a>b

A<B

A>B

A<B

= 3/4 x 8/9 x 15/16 x ... x 9999/10000

= 3 x 8 x 15 x ... x 9999/ 4 x 9 x 16 x ... x 10000

= (1 x 3) x (2 x 4) x (3 x 5) x ... x (99 x 101)/ (2 x 2) x (3 x 3) x (4 x 4) x ... x (100 x 100)

= (1 x 2 x 3 x ... x 99) x (3 x 4 x 5 x ... x 101)/ (2 x 3 x 4 x ... x 100) x (2 x 3 x 4 x ... x 100)

= (1 x 2 x 3 x ... x 99) x (3 x 4 x 5 x ... x 101)/ (2 x 3 x 4 x ... x 100) x (2 x 3 x 4 x ... x 100)

= 1x 101/ 100 x 2

= 101/200

CHÚC BN HOK TỐT ^^

a = 7600

b = 1200

c = 2740

d = 5000

e = 9900

g = 11326

k minh nha 

chuc ban hoc tot

26 +43 - 57 + 86 -61+40

TA CÓ ;

\(A=\frac{3}{4}.\frac{8}{9}...\frac{2499}{2500}\)

\(A=\frac{1.3}{2.2}.\frac{2.4}{3.3}...\frac{49.51}{50.50}\)

\(A=\frac{1.3.2.4...49.51}{2.2.3.3...50.50}\)

\(A=\frac{\left(1.2...49\right).\left(3.4...51\right)}{\left(2.3...50\right).\left(2.3...50\right)}\)

\(A=\frac{1.51}{50.2}=\frac{51}{100}\)

VẬY \(A=\frac{51}{100}\)

`3/4 xx  8/9 xx 15/16 xx 24/25 xx 35/36`

`= (3xx8xx15xx24xx35)/(4xx9xx16xx25xx36)`

`=(3xx4xx2xx5xx3xx4xx6xx7xx5)/(4xx3xx3xx4xx4xx5xx5xx6xx6)`

`=(2xx7)/(4xx6)`

`=(2xx7)/(2xx2xx6)`

`=7/12`

\(\dfrac{3}{4}\times\dfrac{8}{9}\times\dfrac{15}{16}\times\dfrac{24}{25}\times\dfrac{35}{36}\)

= \(\dfrac{3\times8\times15\times24\times35}{4\times9\times16\times25\times36}\)

= \(\dfrac{3\times\left(2\times4\text{​​}\text{​​}\right)\times\left(3\times5\right)\times\left(6\times4\right)\times\left(5\times7\right)}{4\times\left(3\times3\right)\times\left(4\times4\right)\times\left(5\times5\right)\times\left(6\times6\right)}\)

=\(\dfrac{2\text{​​}\text{​​}\times3\times6\times\left(5\times7\right)}{3\times4\times5\times\left(6\times6\right)}\)

=\(\dfrac{\text{​​}\text{​​}7}{2\times6}\)= \(\dfrac{7}{12}\)

NHƯ CÁCH TRÊN