Converting 38.7164 to a Fraction
Step-by-step explanation of how to convert 38.7164 to a fraction
Result
38.7164 =
96791
2500
Mixed number:
38
1791
2500
Step 1: Identify the number of decimal places
The decimal 38.7164 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
38.7164 × 10000 = 387164
Step 3: Write as a fraction
38.7164 =
387164
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 387164 and 10000.
GCD(387164, 10000) = 4
Divide both the numerator and denominator by the GCD:
387164
10000
=
387164 ÷ 4
10000 ÷ 4
=
96791
2500
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