Converting 13.1832 to a Fraction
Step-by-step explanation of how to convert 13.1832 to a fraction

Result

13.1832 =
16479
1250
Mixed number:
13
229
1250

Step 1: Identify the number of decimal places

The decimal 13.1832 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

13.1832 × 10000 = 131832

Step 3: Write as a fraction

13.1832 =

131832
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 131832 and 10000.

GCD(131832, 10000) = 8

Divide both the numerator and denominator by the GCD:

131832
10000

=

131832 ÷ 8
10000 ÷ 8

=

16479
1250
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