Converting 2.05213 to a Fraction
Step-by-step explanation of how to convert 2.05213 to a fraction

Result

2.05213 =
205213
100000
Mixed number:
2
5213
100000

Step 1: Identify the number of decimal places

The decimal 2.05213 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

2.05213 × 100000 = 205213

Step 3: Write as a fraction

2.05213 =

205213
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 205213 and 100000.

GCD(205213, 100000) = 1

Divide both the numerator and denominator by the GCD:

205213
100000

=

205213 ÷ 1
100000 ÷ 1

=

205213
100000
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