Converting 0.421213 to a Fraction
Step-by-step explanation of how to convert 0.421213 to a fraction

Result

0.421213 =
421213
1000000

Step 1: Identify the number of decimal places

The decimal 0.421213 has 6 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 106 = 1000000 to eliminate the decimal point.

0.421213 × 1000000 = 421213

Step 3: Write as a fraction

0.421213 =

421213
1000000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 421213 and 1000000.

GCD(421213, 1000000) = 1

Divide both the numerator and denominator by the GCD:

421213
1000000

=

421213 ÷ 1
1000000 ÷ 1

=

421213
1000000
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