What is between 1/8 and 1/4

In CAD the convention is to draw full size and apply a zoom factor for printing to a particular scale. To derive the zoom factor you invert the scale and multiply by 12. So:

1/8"=1'-0" -------- 96

3/16"=1'-0" -------- 64

1/4"=1'-0" -------- 48

Halfway between 96 and 48 is 72, and yet the math gives me 64. Besides part of my brain, what am I missing here?

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please help, ꜱᴜcκish at math :/

10 Answers

The fraction that is half way between 1/4 and 1/8:

1/2(1/4 + 1/8)

= 1/2(3/8)

= 3/16
1/4 = 4/16 and 1/8 = 2/16

So the fraction in between 4/16 and 2/16 is 3/16
1/4 = 4/16

and

1/8 = 2/16

so 3/16 would be halfway between.

Or you could find the average

(1/4 + 1/8) / 2 = 3/16
((1/4)+(1/8))/2

= ((2/8+(1/8))/2

= (3/8)/2

= 3/16
Arithmetically halfway?

1/4 = 4/16

1/8 = 2/16

SOLUTION: 3/16

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1/4 = 0.25

1/8 = 0.125

(0.25 + 0.125)/2 = 0.1875

0.1875 = 3/16
i don’t give direct answers but a way to find out for yourself. it,s the number that comes between 4 and 8.
1/4 , (1/6 ,) 1/8

so the answer is one sixth hope that helped you