Converting 14.4 to a Fraction
Step-by-step explanation of how to convert 14.4 to a fraction
Result
14.4 =
72
5
Mixed number:
14
2
5
Step 1: Identify the number of decimal places
The decimal 14.4 has 1 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 101 = 10 to eliminate the decimal point.
14.4 × 10 = 144
Step 3: Write as a fraction
14.4 =
144
10
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 144 and 10.
GCD(144, 10) = 2
Divide both the numerator and denominator by the GCD:
144
10
=
144 ÷ 2
10 ÷ 2
=
72
5
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