Question

How to convert 0.2777... into a fraction

Answer 1

Answer:

⇒0.2777........into a fraction

⇒2777/10000

⇒1/3

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Step-by-step explanation:

Answer 2

Answer:

25/90

Step-by-step explanation:

Suppose you have a number like 0.27777777 . . . This number equals a fraction, and let's call it "x".

x = 0.27777777  .......

There is one repeating digit in this decimal, so multiply x by 1, followed by one zero. (In simpler terms, just multiply by 10.):

10x = 2.7777777  

Now subtract the former from the latter

10x = 2.7777777 - x = 0.27777777 9x = 2.5  

So 9x = 2.5 (which equals 25/10). Solving this, you'll see that x = 25/90

Hope it helps!!