The value of 1.666 ... in the form p/q is?

15/9

Step-by-step explanation:

let the recurring decimal be (n)

we need to find a number that will subtract the number to remove the decimal

the nearest number is 16.666 ...

because the decimal has moved one step ahead, we will call the new number (10n)

16.666 - 1.666 = 15.

10n - n = 9n.

=15/9