Converting 14.725 to a Fraction
Step-by-step explanation of how to convert 14.725 to a fraction
Result
14.725 =
589
40
Mixed number:
14
29
40
Step 1: Identify the number of decimal places
The decimal 14.725 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
14.725 × 1000 = 14725
Step 3: Write as a fraction
14.725 =
14725
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 14725 and 1000.
GCD(14725, 1000) = 25
Divide both the numerator and denominator by the GCD:
14725
1000
=
14725 ÷ 25
1000 ÷ 25
=
589
40
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