Question

express 0.3838.... + 1.2727... as a fraction in simplest form​

Answer 1

Answer:

164/99

Step-by-step explanation:

let 0.3838... =x ------(i)

multiplying both sides by 100

0.3838...x100 =100x

38.3838... =100x

38 +0.3838.... =100x

from (i) substitute value of 0.3838,

38 + x = 100x

99x = 38

x = 38/ 99-----(ii)

now,

let 1.2727.... = y-------(iii)

multiplying both sides by 100

1.2727...x100 = 100y

127.2727.... =100y

126 + 1.2727... =100y

substituting value of 1.2727... from (iii)

126 + y =100y

99y = 126

y = 126/99 ----(iv)

Adding (ii) and (iv)

x + y = (38/ 99) + (126/99)

=(38+126)/99

=164/99