Converting 10.2012 to a Fraction
Step-by-step explanation of how to convert 10.2012 to a fraction
Result
10.2012 =
25503
2500
Mixed number:
10
503
2500
Step 1: Identify the number of decimal places
The decimal 10.2012 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
10.2012 × 10000 = 102012
Step 3: Write as a fraction
10.2012 =
102012
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 102012 and 10000.
GCD(102012, 10000) = 4
Divide both the numerator and denominator by the GCD:
102012
10000
=
102012 ÷ 4
10000 ÷ 4
=
25503
2500
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