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!

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...

Thanks for your help!

To find the highest possible value for the quotient a/b, we first need to determine the lowest value of 'a' and the highest value of 'b' within the given conditions.

From the given conditions, we know that 'a' can be any value between 1.2 and 5.1, inclusive. This means the lowest value for 'a' is 1.2.

Similarly, 'b' can be any value between 3 and 6, inclusive. So, the highest value for 'b' is 6.

To find the highest possible value of the quotient a/b, we divide the highest value of 'a' (5.1) by the lowest value of 'b' (3).

Therefore, the highest possible value for the quotient a/b is 5.1/3, which simplifies to approximately 1.7 when rounded to one decimal place.

So, the answer is 1.7 as a decimal.