can somebody please solve this?
thanks!

The question must be wrong, all the options are negative and so when they multiply with each other it will yield positive result which will never be less than -1.
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I think you did misinterpret the question. The stem says


Which three of the following numbers NOT two you have take multiplication of.

You must multiply THREE of the 4 answer choices

That said, a shortcut is to compare the fraction in couples

\(\frac{-15}{17} = \frac{-17}{17} + \frac{2}{7} = -1 + \frac{2}{17}\)

\(-\frac{18}{19} = -\frac{19}{19} + \frac{1}{9} = -1 + \frac{1}{19}\)

Now, comparing the first and the second, disregarding -1 which is equal in both fractions, \(\frac{2}{17} > \frac{1}{19}\)

Doing this proces you will get the answer.

A key concept here is that ALL the answer choices are negative. However, you should notice at a glance that certain fractions are between -1 and zero. Others are less than -1. We care only of the latter

Regards
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thanks carcass!

The main theme here is, if you use calculator to find the values by dividing each term, you will get like respectively: -15/17 = -8824; -18/19 = -.9474; 23/-22 = - 1.0455 ; 17/-16 = 1.0625; We know that, from -3, -2 , -1, -.8, -.5; the bigger value is -3< -2<-1<-.8<-.5 . So just eliminate 1st one. Have Fun.
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