Converting 38.7804 to a Fraction
Step-by-step explanation of how to convert 38.7804 to a fraction

Result

38.7804 =
96951
2500
Mixed number:
38
1951
2500

Step 1: Identify the number of decimal places

The decimal 38.7804 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

38.7804 × 10000 = 387804

Step 3: Write as a fraction

38.7804 =

387804
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 387804 and 10000.

GCD(387804, 10000) = 4

Divide both the numerator and denominator by the GCD:

387804
10000

=

387804 ÷ 4
10000 ÷ 4

=

96951
2500
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