Converting 3.404 to a Fraction
Step-by-step explanation of how to convert 3.404 to a fraction

Result

3.404 =
851
250
Mixed number:
3
101
250

Step 1: Identify the number of decimal places

The decimal 3.404 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

3.404 × 1000 = 3404

Step 3: Write as a fraction

3.404 =

3404
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 3404 and 1000.

GCD(3404, 1000) = 4

Divide both the numerator and denominator by the GCD:

3404
1000

=

3404 ÷ 4
1000 ÷ 4

=

851
250
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