How do you express 1.666666667 as a fraction?

To express the decimal 1.666666667 as a fraction, we begin by breaking down the number into its whole number and decimal parts. The number can be rewritten as:

1.666666667 = 1 + 0.666666667

Now, let’s focus on converting the decimal part, 0.666666667, into a fraction. The repeating part here is 6. Generally, 0.666… can be expressed as:

0.666… = 6/9,

which simplifies to:

2/3.

So now, we can combine this with the whole number part:

1 + 2/3 = 3/3 + 2/3 = 5/3.

Therefore, the decimal 1.666666667 can be expressed as the fraction 5/3.