Hãy nhập câu hỏi của bạn vào đây, nếu là tài khoản VIP, bạn sẽ được ưu tiên trả lời.
\(\frac{12}{25}\cdot\frac{39}{17}\cdot\frac{51}{52}=\frac{27}{25}\)
`12/25 xx 39/17 xx 51/25`
`= (12 xx 39 xx 51)/(25 xx 17 xx 25)`
`= (12 xx 39 xx 3 xx 17)/(25 xx 17 xx 25)`
`= (12 xx 39 xx 3)/(25xx 25)`
`= 468/625`
(1 + \(\dfrac{1}{49}\))\(\times\)(1 + \(\dfrac{1}{50}\))\(\times\)(1 + \(\dfrac{1}{51}\))\(\times\)(1 + \(\dfrac{1}{52}\))\(\times\)...\(\times\)(1 + \(\dfrac{1}{60}\))
= \(\dfrac{49+1}{49}\) \(\times\) \(\dfrac{50+1}{50}\)\(\times\) \(\dfrac{51+1}{51}\)\(\times\)\(\dfrac{52+1}{52}\)\(\times\)...\(\times\)\(\dfrac{61}{60}\)
= \(\dfrac{50}{49}\)\(\times\)\(\dfrac{51}{50}\)\(\times\)\(\dfrac{52}{51}\)\(\times\)...\(\times\)\(\dfrac{61}{60}\)
= \(\dfrac{50\times51\times52\times53\times...\times60}{50\times51\times52\times53\times...\times60}\)\(\times\)\(\dfrac{61}{49}\)
= \(\dfrac{61}{49}\)
\(\dfrac{39}{17}\cdot\dfrac{51}{52}=\dfrac{3}{4}\cdot3=\dfrac{9}{4}\)
`1989/884`