Converting 38.7892 to a Fraction
Step-by-step explanation of how to convert 38.7892 to a fraction

Result

38.7892 =
96973
2500
Mixed number:
38
1973
2500

Step 1: Identify the number of decimal places

The decimal 38.7892 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

38.7892 × 10000 = 387892

Step 3: Write as a fraction

38.7892 =

387892
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 387892 and 10000.

GCD(387892, 10000) = 4

Divide both the numerator and denominator by the GCD:

387892
10000

=

387892 ÷ 4
10000 ÷ 4

=

96973
2500
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