Answer:
26/9
Step-by-step explanation:
We convert the repeating decimal into a fraction.
Let x = 2.888...
Then 10x = 28.888...
10x = 28.888...
(-) x = 2.888...
---------------------------
9x = 26
x = 26/9
Quotient of a number and 3 = x/3
Ten less the quotient of a number and 3 will equal 6
So...
10 - x/3 = 6
+ x/3 +x/3
10 = x/3 +6
-6 - 6
3 × 4=(x/3) × 3
12 = x