Converting 38.61824 to a Fraction
Step-by-step explanation of how to convert 38.61824 to a fraction
Result
38.61824 =
120682
3125
Mixed number:
38
1932
3125
Step 1: Identify the number of decimal places
The decimal 38.61824 has 5 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 105 = 100000 to eliminate the decimal point.
38.61824 × 100000 = 3861824
Step 3: Write as a fraction
38.61824 =
3861824
100000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 3861824 and 100000.
GCD(3861824, 100000) = 32
Divide both the numerator and denominator by the GCD:
3861824
100000
=
3861824 ÷ 32
100000 ÷ 32
=
120682
3125
Related Conversions
Other decimal to fraction conversions you might find useful
Common Fraction Conversions
Popular decimal to fraction conversions