Converting 47.814 to a Fraction
Step-by-step explanation of how to convert 47.814 to a fraction
Result
47.814 =
23907
500
Mixed number:
47
407
500
Step 1: Identify the number of decimal places
The decimal 47.814 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
47.814 × 1000 = 47814
Step 3: Write as a fraction
47.814 =
47814
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 47814 and 1000.
GCD(47814, 1000) = 2
Divide both the numerator and denominator by the GCD:
47814
1000
=
47814 ÷ 2
1000 ÷ 2
=
23907
500
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