Converting 20.4 to a Fraction
Step-by-step explanation of how to convert 20.4 to a fraction
Result
20.4 =
102
5
Mixed number:
20
2
5
Step 1: Identify the number of decimal places
The decimal 20.4 has 1 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 101 = 10 to eliminate the decimal point.
20.4 × 10 = 204
Step 3: Write as a fraction
20.4 =
204
10
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 204 and 10.
GCD(204, 10) = 2
Divide both the numerator and denominator by the GCD:
204
10
=
204 ÷ 2
10 ÷ 2
=
102
5
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