Converting 3.89625 to a Fraction
Step-by-step explanation of how to convert 3.89625 to a fraction
Result
3.89625 =
3117
800
Mixed number:
3
717
800
Step 1: Identify the number of decimal places
The decimal 3.89625 has 5 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 105 = 100000 to eliminate the decimal point.
3.89625 × 100000 = 389625
Step 3: Write as a fraction
3.89625 =
389625
100000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 389625 and 100000.
GCD(389625, 100000) = 125
Divide both the numerator and denominator by the GCD:
389625
100000
=
389625 ÷ 125
100000 ÷ 125
=
3117
800
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