Question

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$-\frac{5}{2} \times \frac{5}{7}$

Explanation:

Step1: Multiply numerators and denominators

To multiply two fractions, we multiply the numerators together and the denominators together. For the fractions $-\frac{5}{2}$ and $\frac{5}{7}$, the numerators are $-5$ and $5$, and the denominators are $2$ and $7$. So we have $(-5\times5)$ for the new numerator and $(2\times7)$ for the new denominator.
$$(-5\times5)= -25$$
$$(2\times7)=14$$

Step2: Write the result

Putting the new numerator and denominator together, we get $-\frac{25}{14}$.

Answer:

$-\frac{25}{14}$