Answer:
5/6
Step-by-step explanation:
Suppose x = 0.83 (3 repeating).
Multiply both sides by 10:
10x = 8.3 (repeating 3)
Now, multiply both sides by 10 again:
100x = 83.3 (repeating 3)
So, we have:
100x = 83.3 (repeating 3)
10x = 8.3 (repeating 3)
We see that if we subtract these two equations, the repeating 3s cancel out, and we're left with:
100x - 10x = 83 - 8
90x = 75
x = 75/90 = 5/6
Thus, the answer is 5/6.
Hope this helps!
