Posted by **Dulcibella** on Monday, January 19, 2009 at 4:02pm.

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**, Monday, January 19, 2009 at 4:22pm
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**, Monday, January 19, 2009 at 4:50pm
Thanks for your help!

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