Converting 14.2766 to a Fraction
Step-by-step explanation of how to convert 14.2766 to a fraction
Result
14.2766 =
71383
5000
Mixed number:
14
1383
5000
Step 1: Identify the number of decimal places
The decimal 14.2766 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
14.2766 × 10000 = 142766
Step 3: Write as a fraction
14.2766 =
142766
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 142766 and 10000.
GCD(142766, 10000) = 2
Divide both the numerator and denominator by the GCD:
142766
10000
=
142766 ÷ 2
10000 ÷ 2
=
71383
5000
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