Converting 20.345 to a Fraction
Step-by-step explanation of how to convert 20.345 to a fraction
Result
20.345 =
4069
200
Mixed number:
20
69
200
Step 1: Identify the number of decimal places
The decimal 20.345 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
20.345 × 1000 = 20345
Step 3: Write as a fraction
20.345 =
20345
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 20345 and 1000.
GCD(20345, 1000) = 5
Divide both the numerator and denominator by the GCD:
20345
1000
=
20345 ÷ 5
1000 ÷ 5
=
4069
200
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