Converting 38.6424 to a Fraction
Step-by-step explanation of how to convert 38.6424 to a fraction

Result

38.6424 =
48303
1250
Mixed number:
38
803
1250

Step 1: Identify the number of decimal places

The decimal 38.6424 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

38.6424 × 10000 = 386424

Step 3: Write as a fraction

38.6424 =

386424
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 386424 and 10000.

GCD(386424, 10000) = 8

Divide both the numerator and denominator by the GCD:

386424
10000

=

386424 ÷ 8
10000 ÷ 8

=

48303
1250
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