Converting 27.9728 to a Fraction
Step-by-step explanation of how to convert 27.9728 to a fraction
Result
27.9728 =
17483
625
Mixed number:
27
608
625
Step 1: Identify the number of decimal places
The decimal 27.9728 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
27.9728 × 10000 = 279728
Step 3: Write as a fraction
27.9728 =
279728
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 279728 and 10000.
GCD(279728, 10000) = 16
Divide both the numerator and denominator by the GCD:
279728
10000
=
279728 ÷ 16
10000 ÷ 16
=
17483
625
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