Converting 2.14 to a Fraction
Step-by-step explanation of how to convert 2.14 to a fraction
Result
2.14 =
107
50
Mixed number:
2
7
50
Step 1: Identify the number of decimal places
The decimal 2.14 has 2 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 102 = 100 to eliminate the decimal point.
2.14 × 100 = 214
Step 3: Write as a fraction
2.14 =
214
100
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 214 and 100.
GCD(214, 100) = 2
Divide both the numerator and denominator by the GCD:
214
100
=
214 ÷ 2
100 ÷ 2
=
107
50
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