Converting 13.275 to a Fraction
Step-by-step explanation of how to convert 13.275 to a fraction

Result

13.275 =
531
40
Mixed number:
13
11
40

Step 1: Identify the number of decimal places

The decimal 13.275 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

13.275 × 1000 = 13275

Step 3: Write as a fraction

13.275 =

13275
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 13275 and 1000.

GCD(13275, 1000) = 25

Divide both the numerator and denominator by the GCD:

13275
1000

=

13275 ÷ 25
1000 ÷ 25

=

531
40
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