Converting 3.904 to a Fraction
Step-by-step explanation of how to convert 3.904 to a fraction

Result

3.904 =
488
125
Mixed number:
3
113
125

Step 1: Identify the number of decimal places

The decimal 3.904 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

3.904 × 1000 = 3904

Step 3: Write as a fraction

3.904 =

3904
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 3904 and 1000.

GCD(3904, 1000) = 8

Divide both the numerator and denominator by the GCD:

3904
1000

=

3904 ÷ 8
1000 ÷ 8

=

488
125
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