Write the rational number 0.3 in the form ab , where a and b are integers.

Step-by-step explanation:

Given

Required

Represent as

Let

This can be further written as

Multiply the numerator and denominator by 10

Since 3 and 10 are both integers, then

geometry: triangles

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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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