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Question

# Write four rational numbers equivalent to the following rational number.$\frac{5}{-12}$

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Solution

## Finding the equivalent rational numbersGiven, a rational number $\frac{5}{-12}$,We know that, equivalent rational number of any rational number is formed by multiply by same number in numerator and denominator or by dividing the same number in numerator and denominator.We multiply the given rational number by some integers in both the numerator and denominator then we get,$\therefore \frac{5}{-12}×\frac{2}{2}=\frac{5×2}{-12×2}=\frac{10}{-24}$ [ Multiply by $2$ in the numerator and denominator ]And $\frac{5}{-12}×\frac{3}{3}=\frac{5×3}{-12×3}=\frac{15}{-36}$ [ Multiply by $3$ in the numerator and denominator ]And $\frac{5}{-12}×\frac{4}{4}=\frac{5×4}{-12×4}=\frac{20}{-48}$ [ Multiply by $4$ in the numerator and denominator ]And $\frac{5}{-12}×\frac{5}{5}=\frac{5×5}{-12×5}=\frac{25}{-60}$ [ Multiply by $5$ in the numerator and denominator ]Hence, four equivalent rational numbers to the given rational number $\frac{5}{-12}$ are $\frac{10}{-24},\frac{15}{-36},\frac{20}{-48},\frac{25}{-60}$.

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