Converting 13.00312 to a Fraction
Step-by-step explanation of how to convert 13.00312 to a fraction

Result

13.00312 =
162539
12500
Mixed number:
13
39
12500

Step 1: Identify the number of decimal places

The decimal 13.00312 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

13.00312 × 100000 = 1300312

Step 3: Write as a fraction

13.00312 =

1300312
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 1300312 and 100000.

GCD(1300312, 100000) = 8

Divide both the numerator and denominator by the GCD:

1300312
100000

=

1300312 ÷ 8
100000 ÷ 8

=

162539
12500
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