The product of multiplicative inverses of -9/2 and 5/18 is?
The product of multiplicative inverses of -9/2 and 5/18 is?
A) 5/4
B) -(5/4)
C) 4/5
D) -(4/5)
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Correct option is (D) -(4/5)
Multiplicative inverse of \(\frac{-9}{2}\) is \(\frac1{\frac{-9}{2}}\) \(=\frac{-2}{9}.\)
and multiplicative inverse of \(\frac{5}{18}\) is \(\frac1{\frac5{18}}=\frac{18}5.\)
\(\therefore\) Product of multiplicative inverses of \(\frac{-9}{2}\) and \(\frac{5}{18}\)
\(=\frac{-2}{9}\times\frac{18}5=\frac{-2\times2}5=\frac{-4}5.\)
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