Converting 2.0214 to a Fraction
Step-by-step explanation of how to convert 2.0214 to a fraction

Result

2.0214 =
10107
5000
Mixed number:
2
107
5000

Step 1: Identify the number of decimal places

The decimal 2.0214 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

2.0214 × 10000 = 20214

Step 3: Write as a fraction

2.0214 =

20214
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 20214 and 10000.

GCD(20214, 10000) = 2

Divide both the numerator and denominator by the GCD:

20214
10000

=

20214 ÷ 2
10000 ÷ 2

=

10107
5000
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