Register Now

Login

Lost Password

Lost your password? Please enter your email address. You will receive a link and will create a new password via email.

222-9+11+12:2*14+14 = ? ( )

Toán Lớp 5: tính giá trị biểu thức : 5/6+5/12+5/20+5/30+…+5/90+5/110

Toán Lớp 5: tính giá trị biểu thức :
5/6+5/12+5/20+5/30+…+5/90+5/110

Comments ( 2 )

  1. # tcv
    Đặt A = 5/6 + 5/12 + 5/20 + 5/30 + ….. + 5/90 + 5/110
    A = 5 xx ( 1/6 + 1/12 + 1/20 + 1/30 + …. 1/90 + 1/110
    A = 5 xx ( 1/(2xx3) + 1/(3xx4) + ……. 1/(10xx11)
    A = 5 xx ( 1/2 – 1/3 + 1/3 – 1/4 + …….. 1/10 – 1/11 )
    A = 5 xx ( 1/2 – 1/11 )
    A = 5 xx 9/22 = 45/22
    => Giá trị biểu thức bằng 45/22

  2. 5/6 + 5/12 + 5/20 + …. + 5/90 + 5/110
    =  $\dfrac{5}{2 . 3}$ + $\dfrac{5}{3 . 4}$ + $\dfrac{5}{4 . 5}$ + …. + $\dfrac{5}{9 . 10}$ + $\dfrac{5}{10 . 11}$ 
    = 5 . (  $\dfrac{1}{2 . 3}$ + $\dfrac{1}{3 . 4}$ + $\dfrac{1}{4 . 5}$ + …. + $\dfrac{1}{9 . 10}$ + $\dfrac{1}{10 . 11}$ )
    = 5 . ( 1/2 – 1/3 + 1/3 – 1/4 + 1/4 – 1/5 + … + 1/9 – 1/10 + 1/10 – 1/11 )
    = 5 . ( 1/2 – 1/11 )
    = 5 . 9/22
    = 45/22
     

Leave a reply

222-9+11+12:2*14+14 = ? ( )

About Lyla Anh