Converting 13.746 to a Fraction
Step-by-step explanation of how to convert 13.746 to a fraction

Result

13.746 =
6873
500
Mixed number:
13
373
500

Step 1: Identify the number of decimal places

The decimal 13.746 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

13.746 × 1000 = 13746

Step 3: Write as a fraction

13.746 =

13746
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 13746 and 1000.

GCD(13746, 1000) = 2

Divide both the numerator and denominator by the GCD:

13746
1000

=

13746 ÷ 2
1000 ÷ 2

=

6873
500
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