Converting 13.3144 to a Fraction
Step-by-step explanation of how to convert 13.3144 to a fraction

Result

13.3144 =
16643
1250
Mixed number:
13
393
1250

Step 1: Identify the number of decimal places

The decimal 13.3144 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

13.3144 × 10000 = 133144

Step 3: Write as a fraction

13.3144 =

133144
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 133144 and 10000.

GCD(133144, 10000) = 8

Divide both the numerator and denominator by the GCD:

133144
10000

=

133144 ÷ 8
10000 ÷ 8

=

16643
1250
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