Converting 47.413824 to a Fraction
Step-by-step explanation of how to convert 47.413824 to a fraction

Result

47.413824 =
740841
15625
Mixed number:
47
6466
15625

Step 1: Identify the number of decimal places

The decimal 47.413824 has 6 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 106 = 1000000 to eliminate the decimal point.

47.413824 × 1000000 = 47413824

Step 3: Write as a fraction

47.413824 =

47413824
1000000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 47413824 and 1000000.

GCD(47413824, 1000000) = 64

Divide both the numerator and denominator by the GCD:

47413824
1000000

=

47413824 ÷ 64
1000000 ÷ 64

=

740841
15625
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