Converting 13.743 to a Fraction
Step-by-step explanation of how to convert 13.743 to a fraction

Result

13.743 =
13743
1000
Mixed number:
13
743
1000

Step 1: Identify the number of decimal places

The decimal 13.743 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

13.743 × 1000 = 13743

Step 3: Write as a fraction

13.743 =

13743
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 13743 and 1000.

GCD(13743, 1000) = 1

Divide both the numerator and denominator by the GCD:

13743
1000

=

13743 ÷ 1
1000 ÷ 1

=

13743
1000
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