Converting 27.665 to a Fraction
Step-by-step explanation of how to convert 27.665 to a fraction

Result

27.665 =
5533
200
Mixed number:
27
133
200

Step 1: Identify the number of decimal places

The decimal 27.665 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

27.665 × 1000 = 27665

Step 3: Write as a fraction

27.665 =

27665
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 27665 and 1000.

GCD(27665, 1000) = 5

Divide both the numerator and denominator by the GCD:

27665
1000

=

27665 ÷ 5
1000 ÷ 5

=

5533
200
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