Converting 11.9664 to a Fraction
Step-by-step explanation of how to convert 11.9664 to a fraction
Result
11.9664 =
7479
625
Mixed number:
11
604
625
Step 1: Identify the number of decimal places
The decimal 11.9664 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
11.9664 × 10000 = 119664
Step 3: Write as a fraction
11.9664 =
119664
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 119664 and 10000.
GCD(119664, 10000) = 16
Divide both the numerator and denominator by the GCD:
119664
10000
=
119664 ÷ 16
10000 ÷ 16
=
7479
625
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