Converting 38.3408 to a Fraction
Step-by-step explanation of how to convert 38.3408 to a fraction

Result

38.3408 =
23963
625
Mixed number:
38
213
625

Step 1: Identify the number of decimal places

The decimal 38.3408 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

38.3408 × 10000 = 383408

Step 3: Write as a fraction

38.3408 =

383408
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 383408 and 10000.

GCD(383408, 10000) = 16

Divide both the numerator and denominator by the GCD:

383408
10000

=

383408 ÷ 16
10000 ÷ 16

=

23963
625
Related Conversions
Other decimal to fraction conversions you might find useful