What are the three equivalent ratio to describe 12/14

6/7, 24/28, 36/42 (See explanation!)

Step-by-step explanation:

To get an equivalent ratio, do an operation on both the top and bottom of the fraction. For example, dividing the top and bottom by 2 would be:

(12÷2)/(14÷2)

6/7

Follow this process (doing same thing to top and bottom) to get two more ratios. If you wanted, you could multiply by 2:

(12x2)/(14x2)

24/28

Note: A ratio is the same as a fraction

Hope this helps!

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geometry: triangles

solvers

lessons

answers archive

call the larger triangle abc

then the smaller triangle cde is similar to abc (all angles are equal, aaa).  

ab is the side that is 36, and we wish to find de, the side corresponding to ab

area_cde = area_abc - area_cde --> area_abc / area_cde = 2

let x=length of de

ratio of areas = (ratio of sides)^2

+2+=+%2836%2fx%29%5e2+

+2+=+1296%2fx%5e2+

++x%5e2+=+1296%2f2+=+648+

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