Converting 10.2028 to a Fraction
Step-by-step explanation of how to convert 10.2028 to a fraction
Result
10.2028 =
25507
2500
Mixed number:
10
507
2500
Step 1: Identify the number of decimal places
The decimal 10.2028 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
10.2028 × 10000 = 102028
Step 3: Write as a fraction
10.2028 =
102028
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 102028 and 10000.
GCD(102028, 10000) = 4
Divide both the numerator and denominator by the GCD:
102028
10000
=
102028 ÷ 4
10000 ÷ 4
=
25507
2500
Related Conversions
Other decimal to fraction conversions you might find useful
Common Fraction Conversions
Popular decimal to fraction conversions