Converting 38.9312 to a Fraction
Step-by-step explanation of how to convert 38.9312 to a fraction
Result
38.9312 =
24332
625
Mixed number:
38
582
625
Step 1: Identify the number of decimal places
The decimal 38.9312 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
38.9312 × 10000 = 389312
Step 3: Write as a fraction
38.9312 =
389312
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 389312 and 10000.
GCD(389312, 10000) = 16
Divide both the numerator and denominator by the GCD:
389312
10000
=
389312 ÷ 16
10000 ÷ 16
=
24332
625
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