How is 0.3333..... decimal expressed in fraction as 1 by 3
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Let its fractional form be x.
x = 0.33333... [1]
Multiplying 10 on both the sides (because only one number is repeating here and is to be brought on the other side of decimal.)
10x = 3.33333.... [2]
Subtracting [1] from [2]
10x - x = 3.3333.... - 0.33333....
9x = 3
x = 3/9
It can be cut down.
So, x = 1/3
Thus, showed.
x = 0.33333... [1]
Multiplying 10 on both the sides (because only one number is repeating here and is to be brought on the other side of decimal.)
10x = 3.33333.... [2]
Subtracting [1] from [2]
10x - x = 3.3333.... - 0.33333....
9x = 3
x = 3/9
It can be cut down.
So, x = 1/3
Thus, showed.
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