Question

Find two rational number s of the form p/q between the numbers 0.2121121112... and 0.2020020002...

Answer 1

hlo...

here the ans is..
                            __
0.2121121112=0.21
let the x be 0.21
            x=0.21 --------equ 1

since the periodicity are 2 ,multiply the equ 1 with 100
                         __
100× x =100×0.21 __
100x    = 100×0.2121
                   __
100x    =21.21               ------ equ 2


solving equ 1 and 2
                __
100x =21.21
                 __
       x=   0.21
_______________
  99x  = 21
    x=21/99
    x=7/33

                                           __
2 sol ) 0.2020020002....=0.20
let the x be 0.20 ---- equ 1

sinc the periodicity are 2 multiply equ 1 with 100...
                                     __
             100x  = 100×0.20
                                         __
              100x = 100×0.2020
                              __
              100x =20.20       ----equ 2

solving equ 1 and 2
                __
100x =20.20
              __
  x  =  0.20
__________
 99x = 20
x=20/99



hope my ans helps u buddy.....

               ^-^

plz.....make my ans brainliest if i deserve 

Answer 2

hope it helps... please mark it as BRAINLIST if it is right..