Converting 47.13872 to a Fraction
Step-by-step explanation of how to convert 47.13872 to a fraction
Result
47.13872 =
294617
6250
Mixed number:
47
867
6250
Step 1: Identify the number of decimal places
The decimal 47.13872 has 5 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 105 = 100000 to eliminate the decimal point.
47.13872 × 100000 = 4713872
Step 3: Write as a fraction
47.13872 =
4713872
100000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 4713872 and 100000.
GCD(4713872, 100000) = 16
Divide both the numerator and denominator by the GCD:
4713872
100000
=
4713872 ÷ 16
100000 ÷ 16
=
294617
6250
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