Question

Which of the rational numbers 4/9, -5/6, -7/-12 and 11/-24 is the
smallest? Show your work.

Answer 1

Answer:

-5/6 is the smallest.

Step-by-step explanation:

$\frac{-7}{-12}$ > $\frac{4}{9}$ > $\frac{-11}{24}$ > $\frac{-5}{6}$

$\frac{-7}{-12}$ can be written as $\frac{7}{12}$ which is > $\frac{4}{9}$.  

Clearly $\frac{4}{9}$ > $\frac{-11}{24}$  because

Now, $\frac{-11}{24}$ > $\frac{-5}{6}$ because $\frac{-5}{6\\}$ can be written as $\frac{-20}{24}$ which is <

Hence Proved

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