Converting 20.09792 to a Fraction
Step-by-step explanation of how to convert 20.09792 to a fraction

Result

20.09792 =
62806
3125
Mixed number:
20
306
3125

Step 1: Identify the number of decimal places

The decimal 20.09792 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

20.09792 × 100000 = 2009792

Step 3: Write as a fraction

20.09792 =

2009792
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 2009792 and 100000.

GCD(2009792, 100000) = 32

Divide both the numerator and denominator by the GCD:

2009792
100000

=

2009792 ÷ 32
100000 ÷ 32

=

62806
3125
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