Converting 13.82328 to a Fraction
Step-by-step explanation of how to convert 13.82328 to a fraction
Result
13.82328 =
172791
12500
Mixed number:
13
10291
12500
Step 1: Identify the number of decimal places
The decimal 13.82328 has 5 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 105 = 100000 to eliminate the decimal point.
13.82328 × 100000 = 1382328
Step 3: Write as a fraction
13.82328 =
1382328
100000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 1382328 and 100000.
GCD(1382328, 100000) = 8
Divide both the numerator and denominator by the GCD:
1382328
100000
=
1382328 ÷ 8
100000 ÷ 8
=
172791
12500
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