Converting 2.09164 to a Fraction
Step-by-step explanation of how to convert 2.09164 to a fraction

Result

2.09164 =
52291
25000
Mixed number:
2
2291
25000

Step 1: Identify the number of decimal places

The decimal 2.09164 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

2.09164 × 100000 = 209164

Step 3: Write as a fraction

2.09164 =

209164
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 209164 and 100000.

GCD(209164, 100000) = 4

Divide both the numerator and denominator by the GCD:

209164
100000

=

209164 ÷ 4
100000 ÷ 4

=

52291
25000
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