Converting 0.409744 to a Fraction
Step-by-step explanation of how to convert 0.409744 to a fraction

Result

0.409744 =
25609
62500

Step 1: Identify the number of decimal places

The decimal 0.409744 has 6 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 106 = 1000000 to eliminate the decimal point.

0.409744 × 1000000 = 409744

Step 3: Write as a fraction

0.409744 =

409744
1000000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 409744 and 1000000.

GCD(409744, 1000000) = 16

Divide both the numerator and denominator by the GCD:

409744
1000000

=

409744 ÷ 16
1000000 ÷ 16

=

25609
62500
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