Question

PLEASE HELP!!!!!!
How do you convert 0.51 (1 being repeated) to a fraction.

Answer 1

Multiply 0.51111111.... by 10

you get : 5.11111

substract 0.51111111 from 5.111111 to eliminate the unlimited sequence

you will get 4.6

now solve the equation :

4.6 = 9x ⇒ x= 4.6/9 ⇒x= 46/90

verify it using a calculator :

46/90= 0.5111111...

Answer 2

23/50

Explanation:

Let x = .51 repeated

Multiply by 10

10x = 5.11111repeated

Subtract x =.51 repeated

10x = 5.1 repeated

-x =-.51 repeated

-----------------------------------

9x = 4.6

Divide by 9

x = 4.6/9

x = 46/90

Divide by 2

x =23/50