Posted by Patrick on Wednesday, January 23, 2013 at 9:04pm.
HELP! Input:1 1/3 Output 7/12 Input 2 3/5 Output 1 17/20 Input 3 5/6 Output ? Input ? Output 3 5/8. What is the rule, and what are the question marks values?

Math  Reiny, Wednesday, January 23, 2013 at 10:13pm
consider it to be the ordered pairs
(4/3 , 7/12) and (13/5 , 37/20) and the relation is linear , since only 2 points were given
slope = (37/20  7/12) / (13/5  4/3) = 1
so y  7/12 = x  4/3
multiply be 12
12y  7 = 12x  16
12x  12y = 9
or
4x  4y = 3
so the input is your x , the output is your y
for input 3 5/6 or 23/6
4(23/6) + 4y = 3
4y = 3  46/3
y =  37/12 > output
You try the other one
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