Maths-
General
Easy

Question

Convert the following repeating decimals to fractions
a) 0.2222222

hintHint:

Perform necessary multiplications to make it as a fraction.

The correct answer is: 2/9


    Complete step by step solution:
    (a) Let x = 0.22222222…(i)
    Now multiply by 10 on both the sides in (i),
    We get, 10x = 2.2222222
    On subtracting x from both the sides, we have
    10x - x = 2.222222 - 0.2222222
    rightwards double arrow 9 x space equals space 2
rightwards double arrow x space equals space 2 over 9
    On simplification, we get 2 over 9
    Hence 0.222222…. = 2 over 9

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