Converting 13.832 to a Fraction
Step-by-step explanation of how to convert 13.832 to a fraction

Result

13.832 =
1729
125
Mixed number:
13
104
125

Step 1: Identify the number of decimal places

The decimal 13.832 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

13.832 × 1000 = 13832

Step 3: Write as a fraction

13.832 =

13832
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 13832 and 1000.

GCD(13832, 1000) = 8

Divide both the numerator and denominator by the GCD:

13832
1000

=

13832 ÷ 8
1000 ÷ 8

=

1729
125
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