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Verified Answer :

The solution to the problem is as follows:

Write the decimal number as a fraction
(over 1)


0.336 = 0.336 / 1

 
Multiplying by 1 to eliminate 3 decimal places
 
we multiply top and bottom by 3 10's
 
Numerator (N)
N = 0.336 × 10 × 10 × 10 = 336


Denominator (D)
D = 1 × 10 × 10 × 10 = 1000

N / D = 336 / 1000

 
Simplifying our fraction

= 336/1000

= 42/125