Converting 5.1005 to a Fraction
Step-by-step explanation of how to convert 5.1005 to a fraction

Result

5.1005 =
10201
2000
Mixed number:
5
201
2000

Step 1: Identify the number of decimal places

The decimal 5.1005 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

5.1005 × 10000 = 51005

Step 3: Write as a fraction

5.1005 =

51005
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 51005 and 10000.

GCD(51005, 10000) = 5

Divide both the numerator and denominator by the GCD:

51005
10000

=

51005 ÷ 5
10000 ÷ 5

=

10201
2000
Related Conversions
Other decimal to fraction conversions you might find useful