Posted by Dulcibella on .
If 1.2 is (less than or equal to) a (less than or equal to 5.1
and
3 (less than or equal to) b (less than or equal to 6)
Then find the highest possible value for the quotient a/b. Give your answer as a decimal.
Would it be 1.2/3, or 0.4.
Thank you!

Algebra 
Reiny,
in any fraction, if the denominator becomes larger, the value of the fraction becomes smaller.
So you want your denominator to be as small as possible, namely b = 3
And as the numerator of a fraction becomes larger, its value also becomes larger, so you want the numerator to be as large as possible, namely a=5.1
so the largest possible value is 5.1/3 = 1.6666... 
Thank you! 
Dulcibella,
Thanks for your help!