Converting 13.1458 to a Fraction
Step-by-step explanation of how to convert 13.1458 to a fraction

Result

13.1458 =
65729
5000
Mixed number:
13
729
5000

Step 1: Identify the number of decimal places

The decimal 13.1458 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

13.1458 × 10000 = 131458

Step 3: Write as a fraction

13.1458 =

131458
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 131458 and 10000.

GCD(131458, 10000) = 2

Divide both the numerator and denominator by the GCD:

131458
10000

=

131458 ÷ 2
10000 ÷ 2

=

65729
5000
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