Converting 11.89664 to a Fraction
Step-by-step explanation of how to convert 11.89664 to a fraction
Result
11.89664 =
37177
3125
Mixed number:
11
2802
3125
Step 1: Identify the number of decimal places
The decimal 11.89664 has 5 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 105 = 100000 to eliminate the decimal point.
11.89664 × 100000 = 1189664
Step 3: Write as a fraction
11.89664 =
1189664
100000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 1189664 and 100000.
GCD(1189664, 100000) = 32
Divide both the numerator and denominator by the GCD:
1189664
100000
=
1189664 ÷ 32
100000 ÷ 32
=
37177
3125
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