Converting 38.2344 to a Fraction
Step-by-step explanation of how to convert 38.2344 to a fraction
Result
38.2344 =
47793
1250
Mixed number:
38
293
1250
Step 1: Identify the number of decimal places
The decimal 38.2344 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
38.2344 × 10000 = 382344
Step 3: Write as a fraction
38.2344 =
382344
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 382344 and 10000.
GCD(382344, 10000) = 8
Divide both the numerator and denominator by the GCD:
382344
10000
=
382344 ÷ 8
10000 ÷ 8
=
47793
1250
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