Converting 38.3624 to a Fraction
Step-by-step explanation of how to convert 38.3624 to a fraction

Result

38.3624 =
47953
1250
Mixed number:
38
453
1250

Step 1: Identify the number of decimal places

The decimal 38.3624 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

38.3624 × 10000 = 383624

Step 3: Write as a fraction

38.3624 =

383624
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 383624 and 10000.

GCD(383624, 10000) = 8

Divide both the numerator and denominator by the GCD:

383624
10000

=

383624 ÷ 8
10000 ÷ 8

=

47953
1250
Related Conversions
Other decimal to fraction conversions you might find useful