Converting 27.265 to a Fraction
Step-by-step explanation of how to convert 27.265 to a fraction

Result

27.265 =
5453
200
Mixed number:
27
53
200

Step 1: Identify the number of decimal places

The decimal 27.265 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

27.265 × 1000 = 27265

Step 3: Write as a fraction

27.265 =

27265
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 27265 and 1000.

GCD(27265, 1000) = 5

Divide both the numerator and denominator by the GCD:

27265
1000

=

27265 ÷ 5
1000 ÷ 5

=

5453
200
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