Converting 14.2748 to a Fraction
Step-by-step explanation of how to convert 14.2748 to a fraction
Result
14.2748 =
35687
2500
Mixed number:
14
687
2500
Step 1: Identify the number of decimal places
The decimal 14.2748 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
14.2748 × 10000 = 142748
Step 3: Write as a fraction
14.2748 =
142748
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 142748 and 10000.
GCD(142748, 10000) = 4
Divide both the numerator and denominator by the GCD:
142748
10000
=
142748 ÷ 4
10000 ÷ 4
=
35687
2500
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