Converting 28.6752 to a Fraction
Step-by-step explanation of how to convert 28.6752 to a fraction
Result
28.6752 =
17922
625
Mixed number:
28
422
625
Step 1: Identify the number of decimal places
The decimal 28.6752 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
28.6752 × 10000 = 286752
Step 3: Write as a fraction
28.6752 =
286752
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 286752 and 10000.
GCD(286752, 10000) = 16
Divide both the numerator and denominator by the GCD:
286752
10000
=
286752 ÷ 16
10000 ÷ 16
=
17922
625
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