Converting 38.6284 to a Fraction
Step-by-step explanation of how to convert 38.6284 to a fraction

Result

38.6284 =
96571
2500
Mixed number:
38
1571
2500

Step 1: Identify the number of decimal places

The decimal 38.6284 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

38.6284 × 10000 = 386284

Step 3: Write as a fraction

38.6284 =

386284
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 386284 and 10000.

GCD(386284, 10000) = 4

Divide both the numerator and denominator by the GCD:

386284
10000

=

386284 ÷ 4
10000 ÷ 4

=

96571
2500
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