Converting 20.414 to a Fraction
Step-by-step explanation of how to convert 20.414 to a fraction
Result
20.414 =
10207
500
Mixed number:
20
207
500
Step 1: Identify the number of decimal places
The decimal 20.414 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
20.414 × 1000 = 20414
Step 3: Write as a fraction
20.414 =
20414
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 20414 and 1000.
GCD(20414, 1000) = 2
Divide both the numerator and denominator by the GCD:
20414
1000
=
20414 ÷ 2
1000 ÷ 2
=
10207
500
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