Answer:
14/15
Step-by-step explanation:
Let x = 0.9333...
Multiply this by 100:
100x = 93.333...
Multiply the first one by 10, as well:
10x = 9.333...
We now have:
100x = 93.333...
10x = 9.333...
Since the right of the decimal point for both numbers includes this repeating 3 part, we can simply subtract the two equations and cancel out the 3s:
100x - 10x = 93.333... - 9.333...
90x = 84
Divide by 90:
x = 84/90 = 14/15
The answer is thus 14/15.
~ an aesthetics lover
