SOLUTION: Convert0.4444..... into rational number

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Question 989509: Convert0.4444..... into rational number

Found 2 solutions by macston, solver91311:
Answer by macston(5194) (Show Source):
You can put this solution on YOUR website!
0.44444...=4/9

Answer by solver91311(24713) (Show Source):
You can put this solution on YOUR website!

It already is a rational number. Any decimal number with a repeating pattern is rational. What I think you meant to ask, or what your instructor meant to ask is to express as a quotient of integers.

Let . Then .

10a = 4.4... - a = 0.4... --------------- 9a = 4.0...

Hence

Commit these to memory: 1 ninth is 0.111..., 2 ninths is 0.222..., and so on.

John

My calculator said it, I believe it, that settles it