Question

Express 0.4777777 ........ as a rational number.​

Answer 1

Answer:

ok it simple

Step-by-step explanation:

step 1- 0.47777........ as the eq(1)

step 1- 0.47777........ as the eq(1)where x= 1 ,0.4777777........(1)

step 1- 0.47777........ as the eq(1)where x= 1 ,0.4777777........(1)where x=10 , 4.7777777.......(2)

step 1- 0.47777........ as the eq(1)where x= 1 ,0.4777777........(1)where x=10 , 4.7777777.......(2) now we will take one more eq

step 1- 0.47777........ as the eq(1)where x= 1 ,0.4777777........(1)where x=10 , 4.7777777.......(2) now we will take one more eq where x =100 , 47.77777........as 3 eq

step 1- 0.47777........ as the eq(1)where x= 1 ,0.4777777........(1)where x=10 , 4.7777777.......(2) now we will take one more eq where x =100 , 47.77777........as 3 eq now

step 1- 0.47777........ as the eq(1)where x= 1 ,0.4777777........(1)where x=10 , 4.7777777.......(2) now we will take one more eq where x =100 , 47.77777........as 3 eq now eq 3 -eq 2

then......

x=100 -10 = 47.7777...... - 4.77777

90 x = 43

43/90 is answer

Answer 2

Step-by-step explanation:

Let x=0.4777777...... —(i)

=>10*x=10x0.4777777.......

=>10x=4.777777....... —(ii)

Now,

(ii)-(i)

10x-x=4.777777.......-0.4777777......

=>9x=4.37

=>x=437/90