Converting 38.7296 to a Fraction
Step-by-step explanation of how to convert 38.7296 to a fraction
Result
38.7296 =
24206
625
Mixed number:
38
456
625
Step 1: Identify the number of decimal places
The decimal 38.7296 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
38.7296 × 10000 = 387296
Step 3: Write as a fraction
38.7296 =
387296
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 387296 and 10000.
GCD(387296, 10000) = 16
Divide both the numerator and denominator by the GCD:
387296
10000
=
387296 ÷ 16
10000 ÷ 16
=
24206
625
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