Converting 38.4016 to a Fraction
Step-by-step explanation of how to convert 38.4016 to a fraction
Result
38.4016 =
24001
625
Mixed number:
38
251
625
Step 1: Identify the number of decimal places
The decimal 38.4016 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
38.4016 × 10000 = 384016
Step 3: Write as a fraction
38.4016 =
384016
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 384016 and 10000.
GCD(384016, 10000) = 16
Divide both the numerator and denominator by the GCD:
384016
10000
=
384016 ÷ 16
10000 ÷ 16
=
24001
625
Related Conversions
Other decimal to fraction conversions you might find useful
Common Fraction Conversions
Popular decimal to fraction conversions