Converting 38.7284 to a Fraction
Step-by-step explanation of how to convert 38.7284 to a fraction
Result
38.7284 =
96821
2500
Mixed number:
38
1821
2500
Step 1: Identify the number of decimal places
The decimal 38.7284 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
38.7284 × 10000 = 387284
Step 3: Write as a fraction
38.7284 =
387284
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 387284 and 10000.
GCD(387284, 10000) = 4
Divide both the numerator and denominator by the GCD:
387284
10000
=
387284 ÷ 4
10000 ÷ 4
=
96821
2500
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