Converting 2.14355 to a Fraction
Step-by-step explanation of how to convert 2.14355 to a fraction
Result
2.14355 =
42871
20000
Mixed number:
2
2871
20000
Step 1: Identify the number of decimal places
The decimal 2.14355 has 5 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 105 = 100000 to eliminate the decimal point.
2.14355 × 100000 = 214355
Step 3: Write as a fraction
2.14355 =
214355
100000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 214355 and 100000.
GCD(214355, 100000) = 5
Divide both the numerator and denominator by the GCD:
214355
100000
=
214355 ÷ 5
100000 ÷ 5
=
42871
20000
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