Converting 10.3832 to a Fraction
Step-by-step explanation of how to convert 10.3832 to a fraction

Result

10.3832 =
12979
1250
Mixed number:
10
479
1250

Step 1: Identify the number of decimal places

The decimal 10.3832 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

10.3832 × 10000 = 103832

Step 3: Write as a fraction

10.3832 =

103832
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 103832 and 10000.

GCD(103832, 10000) = 8

Divide both the numerator and denominator by the GCD:

103832
10000

=

103832 ÷ 8
10000 ÷ 8

=

12979
1250
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