Converting 14.493824 to a Fraction
Step-by-step explanation of how to convert 14.493824 to a fraction
Result
14.493824 =
226466
15625
Mixed number:
14
7716
15625
Step 1: Identify the number of decimal places
The decimal 14.493824 has 6 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 106 = 1000000 to eliminate the decimal point.
14.493824 × 1000000 = 14493824
Step 3: Write as a fraction
14.493824 =
14493824
1000000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 14493824 and 1000000.
GCD(14493824, 1000000) = 64
Divide both the numerator and denominator by the GCD:
14493824
1000000
=
14493824 ÷ 64
1000000 ÷ 64
=
226466
15625
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