Converting 27.82376 to a Fraction
Step-by-step explanation of how to convert 27.82376 to a fraction
Result
27.82376 =
347797
12500
Mixed number:
27
10297
12500
Step 1: Identify the number of decimal places
The decimal 27.82376 has 5 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 105 = 100000 to eliminate the decimal point.
27.82376 × 100000 = 2782376
Step 3: Write as a fraction
27.82376 =
2782376
100000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 2782376 and 100000.
GCD(2782376, 100000) = 8
Divide both the numerator and denominator by the GCD:
2782376
100000
=
2782376 ÷ 8
100000 ÷ 8
=
347797
12500
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