# Find the multiplicative inverse of (i) -3/4 (ii) 11/4.

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Find the multiplicative inverse of

(i) $\frac{-3}{4}$

(ii) $\frac{11}{4}.$

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Multiplicative inverse of a rational number $\frac{a}{b}$ = $\frac{b}{a}$

Therefore,

(i) Negative inverse of $\frac{-3}{4}$ = $\frac{4}{-3}$

$\frac{4}{-3}=\frac{4\times-1}{-3\times-1}=\frac{-4}{3}$

(ii) Negative inverse of $\frac{11}{4}$ = $\frac{4}{11}$