Answer:
LM = 2.82 ft
MN = 2.39 ft
Step-by-step explanation:
We suppose ΔGNF is isosceles and GF bisect ∠NGF, so that GK ⊥ NF
LH // MJ // NK
GL / GH = LM / HJ = MN / JK
11.3 / 10.4 = LM / 2.6 = MN / 2.2
LM = 11.3 / 10.4 x 2.6 = 2.82
MN = 11.3 / 10.4 x 2.2 = 2.39
We are asked to simplify the expression

,
what we do is, we form a single fraction where the numerator is the product of the numerators, and the denominator is the product of the denominators, that is:

simplify the common numbers and terms in the numerator and denominator:

Answer: