Converting 2.16382 to a Fraction
Step-by-step explanation of how to convert 2.16382 to a fraction
Result
2.16382 =
108191
50000
Mixed number:
2
8191
50000
Step 1: Identify the number of decimal places
The decimal 2.16382 has 5 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 105 = 100000 to eliminate the decimal point.
2.16382 × 100000 = 216382
Step 3: Write as a fraction
2.16382 =
216382
100000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 216382 and 100000.
GCD(216382, 100000) = 2
Divide both the numerator and denominator by the GCD:
216382
100000
=
216382 ÷ 2
100000 ÷ 2
=
108191
50000
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