Converting 38.33824 to a Fraction
Step-by-step explanation of how to convert 38.33824 to a fraction

Result

38.33824 =
119807
3125
Mixed number:
38
1057
3125

Step 1: Identify the number of decimal places

The decimal 38.33824 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

38.33824 × 100000 = 3833824

Step 3: Write as a fraction

38.33824 =

3833824
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 3833824 and 100000.

GCD(3833824, 100000) = 32

Divide both the numerator and denominator by the GCD:

3833824
100000

=

3833824 ÷ 32
100000 ÷ 32

=

119807
3125
Related Conversions
Other decimal to fraction conversions you might find useful