Converting 41.6384 to a Fraction
Step-by-step explanation of how to convert 41.6384 to a fraction

Result

41.6384 =
26024
625
Mixed number:
41
399
625

Step 1: Identify the number of decimal places

The decimal 41.6384 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

41.6384 × 10000 = 416384

Step 3: Write as a fraction

41.6384 =

416384
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 416384 and 10000.

GCD(416384, 10000) = 16

Divide both the numerator and denominator by the GCD:

416384
10000

=

416384 ÷ 16
10000 ÷ 16

=

26024
625
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