Step-by-step explanation:
you know how to multiply fractions ?
a/b × c/d = (a×c)/(b×d)
the 2 top parts are multiplied and the 2 bottom parts are multiplied.
the existing answers in "Model" are wrong.
when we multiply the actual size by the scaling factor, we get the model size.
2 1/3 = (6+1)/3 = 7/3
7/3 × 2/5 = 14/15
this is s little bit smaller than 1, and definitely not 1 1/3 (more than 1).
similar with the width.
1 3/7 = (7+3)/7 = 10/7
10/7 × 2/5 = 20/35 = 4/7 (and not 3/4)
so, this is all wrong.
the question is, if maybe the specified scaling factor of 2/5 is wrong.
so, let's see what the scaling factual is for the given model sizes.
7/3 × f = 1 1/3 = (3+1)/3 = 4/3
7f = 4
f = 4/7
now let's try this scaling factor for the width :
10/7 × 4/7 = 40/49
no, this is also not 3/4 (not even close). this is much closer to 4/5.
therefore, I assume now that the actual and scale numbers are correct, and we calculate all the correct model numbers.
so, again
the model length is actually 14/15
the model width is 4/7
the model height is
(8+1)/8 × 2/5 = 9/8 × 2/5 = 18/40 = 9/20
the model door width is
6/7 × 2/5 = 12/35
the model door height is
7/8 × 2/5 = 14/40
and because the scaling factor (2/5) is smaller than 1, actually smaller than 1/2, the model numbers will be smaller then even half the actual numbers. as our results above show.
