Converting 1.0214 to a Fraction
Step-by-step explanation of how to convert 1.0214 to a fraction
Result
1.0214 =
5107
5000
Mixed number:
1
107
5000
Step 1: Identify the number of decimal places
The decimal 1.0214 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
1.0214 × 10000 = 10214
Step 3: Write as a fraction
1.0214 =
10214
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 10214 and 10000.
GCD(10214, 10000) = 2
Divide both the numerator and denominator by the GCD:
10214
10000
=
10214 ÷ 2
10000 ÷ 2
=
5107
5000
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