Converting 1.9905 to a Fraction
Step-by-step explanation of how to convert 1.9905 to a fraction

Result

1.9905 =
3981
2000
Mixed number:
1
1981
2000

Step 1: Identify the number of decimal places

The decimal 1.9905 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

1.9905 × 10000 = 19905

Step 3: Write as a fraction

1.9905 =

19905
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 19905 and 10000.

GCD(19905, 10000) = 5

Divide both the numerator and denominator by the GCD:

19905
10000

=

19905 ÷ 5
10000 ÷ 5

=

3981
2000
Related Conversions
Other decimal to fraction conversions you might find useful