Answer: 103/15
Step-by-step explanation:
We can simplify the right-hand side to be
.
This means we need to solve:

9 points = 1 questions
40 points = ? questions
40/9=4.4 questions or just 4 questions
apologies if my answers are wrong
Answer: The fraction 301/900
Note: I'm assuming the 4's continue on forever
==============================================
Work Shown:
I'm going to assume that the 4s go on forever. I'll represent this with three dots after the last 4 like so
0.334444...
Now let x = 0.334444...
Multiply both sides by 100
x = 0.334444...
100x = 100*(0.334444...)
100x = 33.444444...
And repeat with 1000
x = 0.334444...
1000x = 1000*(0.334444...)
1000x = 334.444444...
Then subtract and solve for x. Notice how the decimal parts line up and cancel
1000x-100x = (334.444444...) - (33.444444...)
1000x-100x = (334+0.444444...) - (33+0.444444...)
1000x-100x = 334+0.444444... - 33 - 0.444444...
1000x-100x = (334-33)+(0.444444... - 0.444444...)
900x = 334 - 33
900x = 301
x = 301/900
10.2 x 2 = 20.40
9.4 x 3 = 28.20
Total= 48.60
Answer:
60
Step-by-step explanation:
