Converting 11.4655 to a Fraction
Step-by-step explanation of how to convert 11.4655 to a fraction
Result
11.4655 =
22931
2000
Mixed number:
11
931
2000
Step 1: Identify the number of decimal places
The decimal 11.4655 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
11.4655 × 10000 = 114655
Step 3: Write as a fraction
11.4655 =
114655
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 114655 and 10000.
GCD(114655, 10000) = 5
Divide both the numerator and denominator by the GCD:
114655
10000
=
114655 ÷ 5
10000 ÷ 5
=
22931
2000
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