I would like to know how to simplify these fractions with a logical reasoning
1 answer:
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Answer: 17/18
In words, this is seventeen eighteenths
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Work Shown:
4/9 + 9/18
8/18 + 9/18 ... see note below
(8+9)/18
17/18
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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.
Answrer
Find out the what is the perimeter of the rectangle .
To prove
Now as shown in the figure.
Name the coordinates as.
A(−3, 4) ,B (7, 2) , C(6, −3) , and D(−4, −1) .
In rectangle opposite sides are equal.
Thus
AB = DC
AD = BC
Formula
Now the points A(−3, 4) and B(7, 2)
Thus
Now the points
A (−3, 4) , D (−4, −1)
Thus
Formula
Perimeter of rectangle = 2 (Length + Breadth)
Here
Perimeter of a rectangle = 30.6 units.
Therefore the perimeter of a rectangle is 30.6 units.
