Converting 0.404 to a Fraction
Step-by-step explanation of how to convert 0.404 to a fraction

Result

0.404 =
101
250

Step 1: Identify the number of decimal places

The decimal 0.404 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

0.404 × 1000 = 404

Step 3: Write as a fraction

0.404 =

404
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 404 and 1000.

GCD(404, 1000) = 4

Divide both the numerator and denominator by the GCD:

404
1000

=

404 ÷ 4
1000 ÷ 4

=

101
250
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