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HomeGRE › Quantitative Reasoning › What is the **reciprocal** of $-\dfrac{3}{7}$?

What is the **reciprocal** of $-\dfrac{3}{7}$?

A$\dfrac{-3}{7}$
B$-\dfrac{7}{3}$
C$\dfrac{7}{3}$
D$\dfrac{3}{7}$
Answer & Solution
Correct answer: B. $-\dfrac{7}{3}$
The reciprocal of a fraction $\dfrac{a}{b}$ is $\dfrac{b}{a}$. The reciprocal preserves the sign. Reciprocal of $-\dfrac{3}{7}$ is $-\dfrac{7}{3}$. Check: $\left(-\dfrac{3}{7}\right) \cdot \left(-\dfrac{7}{3}\right) = +1$ ✓. - Trap B drops the negative sign (incorrect — the product of a number and its reciprocal must equal $+1$, which requires same sign). - Trap C inverts to positive without flipping. - Trap D is just the original.
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