Converting 38.01728 to a Fraction
Step-by-step explanation of how to convert 38.01728 to a fraction
Result
38.01728 =
118804
3125
Mixed number:
38
54
3125
Step 1: Identify the number of decimal places
The decimal 38.01728 has 5 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 105 = 100000 to eliminate the decimal point.
38.01728 × 100000 = 3801728
Step 3: Write as a fraction
38.01728 =
3801728
100000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 3801728 and 100000.
GCD(3801728, 100000) = 32
Divide both the numerator and denominator by the GCD:
3801728
100000
=
3801728 ÷ 32
100000 ÷ 32
=
118804
3125
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