To convert the decimal 1.6666666667 into a fraction, we can start by separating it into its whole number and fractional parts.
First, note that 1.6666666667 can be rewritten as:
1 + 0.6666666667
Next, we focus on converting 0.6666666667 into a fraction. Recognizing that this is a repeating decimal, we can express it as:
0.666… = 2/3
Now, we can combine the whole number with the fraction:
1 + 2/3 = 3/3 + 2/3 = 5/3
Therefore, 1.6666666667 expressed as a fraction is 5/3. This fraction is an improper fraction since the numerator is greater than the denominator, but it cannot be simplified further.