Converting 2.09838 to a Fraction
Step-by-step explanation of how to convert 2.09838 to a fraction

Result

2.09838 =
104919
50000
Mixed number:
2
4919
50000

Step 1: Identify the number of decimal places

The decimal 2.09838 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

2.09838 × 100000 = 209838

Step 3: Write as a fraction

2.09838 =

209838
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 209838 and 100000.

GCD(209838, 100000) = 2

Divide both the numerator and denominator by the GCD:

209838
100000

=

209838 ÷ 2
100000 ÷ 2

=

104919
50000
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