Converting 0.421421 to a Fraction
Step-by-step explanation of how to convert 0.421421 to a fraction
Result
0.421421 =
421421
1000000
Step 1: Identify the number of decimal places
The decimal 0.421421 has 6 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 106 = 1000000 to eliminate the decimal point.
0.421421 × 1000000 = 421421
Step 3: Write as a fraction
0.421421 =
421421
1000000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 421421 and 1000000.
GCD(421421, 1000000) = 1
Divide both the numerator and denominator by the GCD:
421421
1000000
=
421421 ÷ 1
1000000 ÷ 1
=
421421
1000000
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