Converting 38.5724 to a Fraction
Step-by-step explanation of how to convert 38.5724 to a fraction
Result
38.5724 =
96431
2500
Mixed number:
38
1431
2500
Step 1: Identify the number of decimal places
The decimal 38.5724 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
38.5724 × 10000 = 385724
Step 3: Write as a fraction
38.5724 =
385724
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 385724 and 10000.
GCD(385724, 10000) = 4
Divide both the numerator and denominator by the GCD:
385724
10000
=
385724 ÷ 4
10000 ÷ 4
=
96431
2500
Related Conversions
Other decimal to fraction conversions you might find useful
Common Fraction Conversions
Popular decimal to fraction conversions