Converting 2.14144 to a Fraction
Step-by-step explanation of how to convert 2.14144 to a fraction
Result
2.14144 =
6692
3125
Mixed number:
2
442
3125
Step 1: Identify the number of decimal places
The decimal 2.14144 has 5 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 105 = 100000 to eliminate the decimal point.
2.14144 × 100000 = 214144
Step 3: Write as a fraction
2.14144 =
214144
100000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 214144 and 100000.
GCD(214144, 100000) = 32
Divide both the numerator and denominator by the GCD:
214144
100000
=
214144 ÷ 32
100000 ÷ 32
=
6692
3125
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