Converting 27.8584 to a Fraction
Step-by-step explanation of how to convert 27.8584 to a fraction

Result

27.8584 =
34823
1250
Mixed number:
27
1073
1250

Step 1: Identify the number of decimal places

The decimal 27.8584 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

27.8584 × 10000 = 278584

Step 3: Write as a fraction

27.8584 =

278584
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 278584 and 10000.

GCD(278584, 10000) = 8

Divide both the numerator and denominator by the GCD:

278584
10000

=

278584 ÷ 8
10000 ÷ 8

=

34823
1250
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