Answer:
.
Step-by-step explanation:
Start by separating this decimal number into its integer part and its fraction part:
The most challenging task here is to express 
as a proper fraction. Once that fraction is found, expressing the original number 
will be as simple as rewriting a mixed number as an improper fraction.
Let 
. 
would then represent the original number.
Note that the repeating digits appear in groups of two. Therefore, if the digits in 
are shifted to the left by two places, the repeating part will continue to match:
.
Note, that this "shifting" is as simple as multiplying the initial number by 
(same as 
raised to the power of the number of digits that needs to be shifted.)
Subtract the original number from the shifted number to eliminate the fraction part completely:
.
In other words:
.
.
Therefore, the original number would be:
.
Answer:
yes, 1 can never equal 2 unless it is manipulated (ex: 1(2) = 2)
because one is not being manipulated to equal 2 here, it is a false statement and will always be a false statement.
Answer: 17/18
In words, this is seventeen eighteenths
==========================================
Work Shown:
4/9 + 9/18
8/18 + 9/18 ... see note below
(8+9)/18
17/18
----------------
note: To go from 4/9 to 8/18, we multiply top and bottom by 2. So that's why 4/9 = 8/18.
The diagram below shows a visual representation of why 4/9 = 8/18.
In the top row, I've drawn out 9 rectangles of the same size. Then I've shaded 4 of the 9 rectangles to represent the fraction 4/9. In the bottom row, I've cut each of those 9 rectangles into two smaller equal pieces, so we have 9*2 = 18 rectangles now. Note how the shaded regions are the same size, so this shows 4 green regions doubles to 2*4 = 8 yellow regions; therefore 4/9 is the same as 8/18.
The expression 5 y 2 has exactly two terms
10P8 = 10!/(10 - 8)! = 10!/2! = 1,814,400
