Converting 3.898 to a Fraction
Step-by-step explanation of how to convert 3.898 to a fraction

Result

3.898 =
1949
500
Mixed number:
3
449
500

Step 1: Identify the number of decimal places

The decimal 3.898 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

3.898 × 1000 = 3898

Step 3: Write as a fraction

3.898 =

3898
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 3898 and 1000.

GCD(3898, 1000) = 2

Divide both the numerator and denominator by the GCD:

3898
1000

=

3898 ÷ 2
1000 ÷ 2

=

1949
500
Related Conversions
Other decimal to fraction conversions you might find useful