Converting 38.9216 to a Fraction
Step-by-step explanation of how to convert 38.9216 to a fraction

Result

38.9216 =
24326
625
Mixed number:
38
576
625

Step 1: Identify the number of decimal places

The decimal 38.9216 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

38.9216 × 10000 = 389216

Step 3: Write as a fraction

38.9216 =

389216
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 389216 and 10000.

GCD(389216, 10000) = 16

Divide both the numerator and denominator by the GCD:

389216
10000

=

389216 ÷ 16
10000 ÷ 16

=

24326
625
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