Converting 2.1116 to a Fraction
Step-by-step explanation of how to convert 2.1116 to a fraction
Result
2.1116 =
5279
2500
Mixed number:
2
279
2500
Step 1: Identify the number of decimal places
The decimal 2.1116 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
2.1116 × 10000 = 21116
Step 3: Write as a fraction
2.1116 =
21116
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 21116 and 10000.
GCD(21116, 10000) = 4
Divide both the numerator and denominator by the GCD:
21116
10000
=
21116 ÷ 4
10000 ÷ 4
=
5279
2500
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