Converting 1.414135 to a Fraction
Step-by-step explanation of how to convert 1.414135 to a fraction
Result
1.414135 =
282827
200000
Mixed number:
1
82827
200000
Step 1: Identify the number of decimal places
The decimal 1.414135 has 6 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 106 = 1000000 to eliminate the decimal point.
1.414135 × 1000000 = 1414135
Step 3: Write as a fraction
1.414135 =
1414135
1000000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 1414135 and 1000000.
GCD(1414135, 1000000) = 5
Divide both the numerator and denominator by the GCD:
1414135
1000000
=
1414135 ÷ 5
1000000 ÷ 5
=
282827
200000
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