<h3>Explanation:</h3>
GCF: the greatest common factor of numerator and denominator is a factor that can be removed to reduce the fraction.
<em>Example</em>
The numerator and denominator of 6/8 have GCF of 2:
6/8 = (2·3)/(2·4)
The fraction can be reduced by canceling those factors.
(2·3)/(2·4) = (2/2)·(3/4) = 1·(3/4) = 3/4
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LCM: the least common multiple of the denominators is suitable as a common denominator. Addition and subtraction are easily performed on the numerators when the denominator is common.
<em>Example</em>
The fractions 2/3 and 1/5 can be added using a common denominator of LCM(3, 5) = 15.
2/3 + 1/5 = 10/15 + 3/15 = (10+3)/15 = 13/15
The triangle cannot be made.
Solution:
Given sides of a triangle are 8 ft, 20 ft and 8 ft.
<u>To determine if the triangle can be made:</u>
Let us first define the triangle inequality theorem.
Triangle inequality theorem:
The sum of the lengths of the any two sides of a triangle is greater than the length of the third side.
Using this theorem, we can determine if the triangle can be made or not.
8 ft + 20 ft = 28 ft > 8 ft
20 ft + 8 ft = 28 ft > 8 ft
8 ft + 8 ft = 16 ft < 20 ft
Here the sum of the two sides is less than 20 ft.
This is not satisfy the triangle inequality theorem.
Therefore, the triangle cannot be made.
Answer: the second one
Step-by-step explanation:
