Converting 20.096 to a Fraction
Step-by-step explanation of how to convert 20.096 to a fraction

Result

20.096 =
2512
125
Mixed number:
20
12
125

Step 1: Identify the number of decimal places

The decimal 20.096 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

20.096 × 1000 = 20096

Step 3: Write as a fraction

20.096 =

20096
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 20096 and 1000.

GCD(20096, 1000) = 8

Divide both the numerator and denominator by the GCD:

20096
1000

=

20096 ÷ 8
1000 ÷ 8

=

2512
125
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