Converting 2.13978 to a Fraction
Step-by-step explanation of how to convert 2.13978 to a fraction
Result
2.13978 =
106989
50000
Mixed number:
2
6989
50000
Step 1: Identify the number of decimal places
The decimal 2.13978 has 5 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 105 = 100000 to eliminate the decimal point.
2.13978 × 100000 = 213978
Step 3: Write as a fraction
2.13978 =
213978
100000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 213978 and 100000.
GCD(213978, 100000) = 2
Divide both the numerator and denominator by the GCD:
213978
100000
=
213978 ÷ 2
100000 ÷ 2
=
106989
50000
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