Converting 0.4028 to a Fraction
Step-by-step explanation of how to convert 0.4028 to a fraction

Result

0.4028 =
1007
2500

Step 1: Identify the number of decimal places

The decimal 0.4028 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

0.4028 × 10000 = 4028

Step 3: Write as a fraction

0.4028 =

4028
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 4028 and 10000.

GCD(4028, 10000) = 4

Divide both the numerator and denominator by the GCD:

4028
10000

=

4028 ÷ 4
10000 ÷ 4

=

1007
2500
Related Conversions
Other decimal to fraction conversions you might find useful