Converting 38.314 to a Fraction
Step-by-step explanation of how to convert 38.314 to a fraction
Result
38.314 =
19157
500
Mixed number:
38
157
500
Step 1: Identify the number of decimal places
The decimal 38.314 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
38.314 × 1000 = 38314
Step 3: Write as a fraction
38.314 =
38314
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 38314 and 1000.
GCD(38314, 1000) = 2
Divide both the numerator and denominator by the GCD:
38314
1000
=
38314 ÷ 2
1000 ÷ 2
=
19157
500
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