Converting 2.02145 to a Fraction
Step-by-step explanation of how to convert 2.02145 to a fraction
Result
2.02145 =
40429
20000
Mixed number:
2
429
20000
Step 1: Identify the number of decimal places
The decimal 2.02145 has 5 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 105 = 100000 to eliminate the decimal point.
2.02145 × 100000 = 202145
Step 3: Write as a fraction
2.02145 =
202145
100000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 202145 and 100000.
GCD(202145, 100000) = 5
Divide both the numerator and denominator by the GCD:
202145
100000
=
202145 ÷ 5
100000 ÷ 5
=
40429
20000
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