Converting 20.49164 to a Fraction
Step-by-step explanation of how to convert 20.49164 to a fraction

Result

20.49164 =
512291
25000
Mixed number:
20
12291
25000

Step 1: Identify the number of decimal places

The decimal 20.49164 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

20.49164 × 100000 = 2049164

Step 3: Write as a fraction

20.49164 =

2049164
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 2049164 and 100000.

GCD(2049164, 100000) = 4

Divide both the numerator and denominator by the GCD:

2049164
100000

=

2049164 ÷ 4
100000 ÷ 4

=

512291
25000
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