Converting 14.2775 to a Fraction
Step-by-step explanation of how to convert 14.2775 to a fraction
Result
14.2775 =
5711
400
Mixed number:
14
111
400
Step 1: Identify the number of decimal places
The decimal 14.2775 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
14.2775 × 10000 = 142775
Step 3: Write as a fraction
14.2775 =
142775
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 142775 and 10000.
GCD(142775, 10000) = 25
Divide both the numerator and denominator by the GCD:
142775
10000
=
142775 ÷ 25
10000 ÷ 25
=
5711
400
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