Converting 28.2728 to a Fraction
Step-by-step explanation of how to convert 28.2728 to a fraction
Result
28.2728 =
35341
1250
Mixed number:
28
341
1250
Step 1: Identify the number of decimal places
The decimal 28.2728 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
28.2728 × 10000 = 282728
Step 3: Write as a fraction
28.2728 =
282728
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 282728 and 10000.
GCD(282728, 10000) = 8
Divide both the numerator and denominator by the GCD:
282728
10000
=
282728 ÷ 8
10000 ÷ 8
=
35341
1250
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