Converting 33.936 to a Fraction
Step-by-step explanation of how to convert 33.936 to a fraction

Result

33.936 =
4242
125
Mixed number:
33
117
125

Step 1: Identify the number of decimal places

The decimal 33.936 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

33.936 × 1000 = 33936

Step 3: Write as a fraction

33.936 =

33936
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 33936 and 1000.

GCD(33936, 1000) = 8

Divide both the numerator and denominator by the GCD:

33936
1000

=

33936 ÷ 8
1000 ÷ 8

=

4242
125
Related Conversions
Other decimal to fraction conversions you might find useful