Converting 38.5392 to a Fraction
Step-by-step explanation of how to convert 38.5392 to a fraction

Result

38.5392 =
24087
625
Mixed number:
38
337
625

Step 1: Identify the number of decimal places

The decimal 38.5392 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

38.5392 × 10000 = 385392

Step 3: Write as a fraction

38.5392 =

385392
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 385392 and 10000.

GCD(385392, 10000) = 16

Divide both the numerator and denominator by the GCD:

385392
10000

=

385392 ÷ 16
10000 ÷ 16

=

24087
625
Related Conversions
Other decimal to fraction conversions you might find useful