Question

What is the product of additive inverse of12/17and multiplicative inverse of34/31?
· A)−6/21
· B)−11/31
· C)−19/21
· D)−24/31
Solution:-If the sum of two numbers is 0, then the two numbers are said to be additive inverse or negative of each other.
∴ Additive inverse of12/17= −12/17
∴ Multiplicative inverse of34/31=31/34
Required product =−12/17×34/31=−24/31
Hence, the correct option is D.

Answer 1

$$\begin{gathered} \mathrm{Addistive}\mathrm{inverse}\mathrm{of}\frac{12}{17}=-\frac{12}{17} \\ \mathrm{Multiplicative}\mathrm{inverse}\mathrm{of}\frac{34}{31}=\frac{31}{34} \\ \mathrm{Now},\mathrm{required}\mathrm{product}=-\frac{12}{17}\times \frac{31}{34}=-\frac{186}{289} \end{gathered}$$