Converting 39.936 to a Fraction
Step-by-step explanation of how to convert 39.936 to a fraction

Result

39.936 =
4992
125
Mixed number:
39
117
125

Step 1: Identify the number of decimal places

The decimal 39.936 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

39.936 × 1000 = 39936

Step 3: Write as a fraction

39.936 =

39936
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 39936 and 1000.

GCD(39936, 1000) = 8

Divide both the numerator and denominator by the GCD:

39936
1000

=

39936 ÷ 8
1000 ÷ 8

=

4992
125
Related Conversions
Other decimal to fraction conversions you might find useful