Converting 27.82456 to a Fraction
Step-by-step explanation of how to convert 27.82456 to a fraction

Result

27.82456 =
347807
12500
Mixed number:
27
10307
12500

Step 1: Identify the number of decimal places

The decimal 27.82456 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

27.82456 × 100000 = 2782456

Step 3: Write as a fraction

27.82456 =

2782456
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 2782456 and 100000.

GCD(2782456, 100000) = 8

Divide both the numerator and denominator by the GCD:

2782456
100000

=

2782456 ÷ 8
100000 ÷ 8

=

347807
12500
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