Question

Express the following decimal as rational numbers:0.4bar​

Answer 1

Answer:

Step-by-step explanation:

Let x be 0.4 bar  x = 0.4 bar ….(1)  Multiplying both sides by 10, we get  10x = 4.4 bar ….(2)  Subtracting (1) from (2), we get  10x – x = 4.4 bar - 0.4 bar 9x = 4 x = 4/9 Thus, simplest form of 0.4 bar as a rational number is 4/9.Read more on Sarthaks.com - https://www.sarthaks.com/127660/express-0-4-bar-as-a-rational-number-simplest-form

Answer 2

Step-by-step explanation:

Let x=0.4bar. 1

multiply 10 by both sides

10x = 4.4bar. 2

Subtract 1 from 2

10x-1x = 4.4bar - 0.4bar

9x= 4

x= 4/9