Converting 40.814 to a Fraction
Step-by-step explanation of how to convert 40.814 to a fraction
Result
40.814 =
20407
500
Mixed number:
40
407
500
Step 1: Identify the number of decimal places
The decimal 40.814 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
40.814 × 1000 = 40814
Step 3: Write as a fraction
40.814 =
40814
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 40814 and 1000.
GCD(40814, 1000) = 2
Divide both the numerator and denominator by the GCD:
40814
1000
=
40814 ÷ 2
1000 ÷ 2
=
20407
500
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