Converting 38.523664 to a Fraction
Step-by-step explanation of how to convert 38.523664 to a fraction

Result

38.523664 =
2407729
62500
Mixed number:
38
32729
62500

Step 1: Identify the number of decimal places

The decimal 38.523664 has 6 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 106 = 1000000 to eliminate the decimal point.

38.523664 × 1000000 = 38523664

Step 3: Write as a fraction

38.523664 =

38523664
1000000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 38523664 and 1000000.

GCD(38523664, 1000000) = 16

Divide both the numerator and denominator by the GCD:

38523664
1000000

=

38523664 ÷ 16
1000000 ÷ 16

=

2407729
62500
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