Convert 0.0155 into fractions ?



Convert 0.0155 into fractions ?

A. 21/2900

B. 17/2700

C. 23/3500

D. 31/2000

Answer : D. 31/2000


Explanation :

    Given :
    The decimal number = 0.0155
    Write it as a fraction = 0.0155 / 1
    Multiply 10000 to both numerator & denominator
    (0.0155 x 10000)/(1 x 10000) = 155/10000

    It can be written as 1.55% = 1.55/100 or 155/10000
    To simplify 155/10000 to its lowest terms, find LCM (Least Common Multiple) for 155 & 10000.
    5 is the LCM for 155 & 10000

    Divide numerator & denominator by 5
    155/10000 = (155 / 5) / (10000 / 5)
    = 31/2000
    31/2000 is a simplest fraction for the decimal point number 0.0155


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