Converting 13.2256 to a Fraction
Step-by-step explanation of how to convert 13.2256 to a fraction

Result

13.2256 =
8266
625
Mixed number:
13
141
625

Step 1: Identify the number of decimal places

The decimal 13.2256 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

13.2256 × 10000 = 132256

Step 3: Write as a fraction

13.2256 =

132256
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 132256 and 10000.

GCD(132256, 10000) = 16

Divide both the numerator and denominator by the GCD:

132256
10000

=

132256 ÷ 16
10000 ÷ 16

=

8266
625
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