<s>[INST] Simplifying Fractions involving negative numbers I want to simplify $$\frac{\frac{7}{-10} \times \frac{-15}{6}}{\frac{7}{-19} + \frac{-17}{-8}}$$
I really don't understand how to do this, or even how to start? 
Negative numbers make it even harder for me to try and simplify it. 
 [/INST] Just simplify the numerator first and then simplify the denominator. 
$$\frac{7}{-10} \times \frac{-15}{6} = \frac{-105}{-60} = \frac{-7}{-4} = \frac{7}{4}$$
leads us to
$$\frac{\frac{7}{4}}{\frac{7}{-19} + \frac{-17}{-8}}.$$
Very similar principle with the denominator.
$$\frac{7}{-19} + \frac{-17}{-8} = \frac{267}{152}$$
gives us 
$$\frac{\frac{7}{4}}{\frac{267}{152}}.$$
To bring this home, rewrite this division of two fractions as a multiplication:
$$\frac{\frac{7}{4}}{\frac{267}{152}} = \frac{7}{4} \times \frac{152}{267} = \frac{1064}{1068} = \frac{532}{534} = \ldots$$
You get the idea.
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