Converting 41.872 to a Fraction
Step-by-step explanation of how to convert 41.872 to a fraction

Result

41.872 =
5234
125
Mixed number:
41
109
125

Step 1: Identify the number of decimal places

The decimal 41.872 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

41.872 × 1000 = 41872

Step 3: Write as a fraction

41.872 =

41872
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 41872 and 1000.

GCD(41872, 1000) = 8

Divide both the numerator and denominator by the GCD:

41872
1000

=

41872 ÷ 8
1000 ÷ 8

=

5234
125
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