Converting 13.665 to a Fraction
Step-by-step explanation of how to convert 13.665 to a fraction
Result
13.665 =
2733
200
Mixed number:
13
133
200
Step 1: Identify the number of decimal places
The decimal 13.665 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
13.665 × 1000 = 13665
Step 3: Write as a fraction
13.665 =
13665
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 13665 and 1000.
GCD(13665, 1000) = 5
Divide both the numerator and denominator by the GCD:
13665
1000
=
13665 ÷ 5
1000 ÷ 5
=
2733
200
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