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QUESTION IMAGE

which sign makes the statement true? $\frac{-3}{5}$? $\frac{-2}{8}$

Question

which sign makes the statement true?
$\frac{-3}{5}$? $\frac{-2}{8}$

Explanation:

Step1: Find common denominator

The common denominator of 5 and 8 is 40.

Step2: Rewrite fractions

$\frac{-3}{5}=\frac{-3\times8}{5\times8}=\frac{-24}{40}$ and $\frac{-2}{8}=\frac{-2\times5}{8\times5}=\frac{-10}{40}$.

Step3: Compare numerators

Since -24 < -10 for negative numbers, $\frac{-24}{40}<\frac{-10}{40}$.

Answer:

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