Converting 27.9828 to a Fraction
Step-by-step explanation of how to convert 27.9828 to a fraction
Result
27.9828 =
69957
2500
Mixed number:
27
2457
2500
Step 1: Identify the number of decimal places
The decimal 27.9828 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
27.9828 × 10000 = 279828
Step 3: Write as a fraction
27.9828 =
279828
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 279828 and 10000.
GCD(279828, 10000) = 4
Divide both the numerator and denominator by the GCD:
279828
10000
=
279828 ÷ 4
10000 ÷ 4
=
69957
2500
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