Converting 13.1742 to a Fraction
Step-by-step explanation of how to convert 13.1742 to a fraction

Result

13.1742 =
65871
5000
Mixed number:
13
871
5000

Step 1: Identify the number of decimal places

The decimal 13.1742 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

13.1742 × 10000 = 131742

Step 3: Write as a fraction

13.1742 =

131742
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 131742 and 10000.

GCD(131742, 10000) = 2

Divide both the numerator and denominator by the GCD:

131742
10000

=

131742 ÷ 2
10000 ÷ 2

=

65871
5000
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