Converting 10.202 to a Fraction
Step-by-step explanation of how to convert 10.202 to a fraction
Result
10.202 =
5101
500
Mixed number:
10
101
500
Step 1: Identify the number of decimal places
The decimal 10.202 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
10.202 × 1000 = 10202
Step 3: Write as a fraction
10.202 =
10202
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 10202 and 1000.
GCD(10202, 1000) = 2
Divide both the numerator and denominator by the GCD:
10202
1000
=
10202 ÷ 2
1000 ÷ 2
=
5101
500
Related Conversions
Other decimal to fraction conversions you might find useful
Common Fraction Conversions
Popular decimal to fraction conversions