Converting 0.413829 to a Fraction
Step-by-step explanation of how to convert 0.413829 to a fraction

Result

0.413829 =
413829
1000000

Step 1: Identify the number of decimal places

The decimal 0.413829 has 6 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 106 = 1000000 to eliminate the decimal point.

0.413829 × 1000000 = 413829

Step 3: Write as a fraction

0.413829 =

413829
1000000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 413829 and 1000000.

GCD(413829, 1000000) = 1

Divide both the numerator and denominator by the GCD:

413829
1000000

=

413829 ÷ 1
1000000 ÷ 1

=

413829
1000000
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