Converting 10.21876 to a Fraction
Step-by-step explanation of how to convert 10.21876 to a fraction
Result
10.21876 =
255469
25000
Mixed number:
10
5469
25000
Step 1: Identify the number of decimal places
The decimal 10.21876 has 5 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 105 = 100000 to eliminate the decimal point.
10.21876 × 100000 = 1021876
Step 3: Write as a fraction
10.21876 =
1021876
100000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 1021876 and 100000.
GCD(1021876, 100000) = 4
Divide both the numerator and denominator by the GCD:
1021876
100000
=
1021876 ÷ 4
100000 ÷ 4
=
255469
25000
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