Converting 3.98624 to a Fraction
Step-by-step explanation of how to convert 3.98624 to a fraction
Result
3.98624 =
12457
3125
Mixed number:
3
3082
3125
Step 1: Identify the number of decimal places
The decimal 3.98624 has 5 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 105 = 100000 to eliminate the decimal point.
3.98624 × 100000 = 398624
Step 3: Write as a fraction
3.98624 =
398624
100000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 398624 and 100000.
GCD(398624, 100000) = 32
Divide both the numerator and denominator by the GCD:
398624
100000
=
398624 ÷ 32
100000 ÷ 32
=
12457
3125
Related Conversions
Other decimal to fraction conversions you might find useful
Common Fraction Conversions
Popular decimal to fraction conversions