Converting 27.8284 to a Fraction
Step-by-step explanation of how to convert 27.8284 to a fraction
Result
27.8284 =
69571
2500
Mixed number:
27
2071
2500
Step 1: Identify the number of decimal places
The decimal 27.8284 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
27.8284 × 10000 = 278284
Step 3: Write as a fraction
27.8284 =
278284
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 278284 and 10000.
GCD(278284, 10000) = 4
Divide both the numerator and denominator by the GCD:
278284
10000
=
278284 ÷ 4
10000 ÷ 4
=
69571
2500
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