Question

what is the reciprocal of $-\frac{3}{4}$? \
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a. $-\frac{4}{3}$ \
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b. $-\frac{3}{4}$ \
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c. $\frac{3}{4}$ \
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d. $\frac{4}{3}$

Explanation:

Step1: Define reciprocal of a fraction

The reciprocal of a fraction $\frac{a}{b}$ is $\frac{b}{a}$, with sign preserved.

Step2: Apply to $-\frac{3}{4}$

Flip numerator and denominator: $\frac{-4}{3} = -\frac{4}{3}$

Answer:

B. $-\frac{4}{3}$