Converting 14.9418 to a Fraction
Step-by-step explanation of how to convert 14.9418 to a fraction
Result
14.9418 =
74709
5000
Mixed number:
14
4709
5000
Step 1: Identify the number of decimal places
The decimal 14.9418 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
14.9418 × 10000 = 149418
Step 3: Write as a fraction
14.9418 =
149418
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 149418 and 10000.
GCD(149418, 10000) = 2
Divide both the numerator and denominator by the GCD:
149418
10000
=
149418 ÷ 2
10000 ÷ 2
=
74709
5000
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