Converting 47.871824 to a Fraction
Step-by-step explanation of how to convert 47.871824 to a fraction
Result
47.871824 =
2991989
62500
Mixed number:
47
54489
62500
Step 1: Identify the number of decimal places
The decimal 47.871824 has 6 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 106 = 1000000 to eliminate the decimal point.
47.871824 × 1000000 = 47871824
Step 3: Write as a fraction
47.871824 =
47871824
1000000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 47871824 and 1000000.
GCD(47871824, 1000000) = 16
Divide both the numerator and denominator by the GCD:
47871824
1000000
=
47871824 ÷ 16
1000000 ÷ 16
=
2991989
62500
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