Converting 2.13982 to a Fraction
Step-by-step explanation of how to convert 2.13982 to a fraction

Result

2.13982 =
106991
50000
Mixed number:
2
6991
50000

Step 1: Identify the number of decimal places

The decimal 2.13982 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

2.13982 × 100000 = 213982

Step 3: Write as a fraction

2.13982 =

213982
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 213982 and 100000.

GCD(213982, 100000) = 2

Divide both the numerator and denominator by the GCD:

213982
100000

=

213982 ÷ 2
100000 ÷ 2

=

106991
50000
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