Converting 38.6752 to a Fraction
Step-by-step explanation of how to convert 38.6752 to a fraction
Result
38.6752 =
24172
625
Mixed number:
38
422
625
Step 1: Identify the number of decimal places
The decimal 38.6752 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
38.6752 × 10000 = 386752
Step 3: Write as a fraction
38.6752 =
386752
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 386752 and 10000.
GCD(386752, 10000) = 16
Divide both the numerator and denominator by the GCD:
386752
10000
=
386752 ÷ 16
10000 ÷ 16
=
24172
625
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