Converting 10.20228 to a Fraction
Step-by-step explanation of how to convert 10.20228 to a fraction
Result
10.20228 =
255057
25000
Mixed number:
10
5057
25000
Step 1: Identify the number of decimal places
The decimal 10.20228 has 5 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 105 = 100000 to eliminate the decimal point.
10.20228 × 100000 = 1020228
Step 3: Write as a fraction
10.20228 =
1020228
100000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 1020228 and 100000.
GCD(1020228, 100000) = 4
Divide both the numerator and denominator by the GCD:
1020228
100000
=
1020228 ÷ 4
100000 ÷ 4
=
255057
25000
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