Find the multiplicative inverse of the following

(i) 

Let $x = -13$.
The multiplicative inverse of $x$ is $-\tfrac{1}{13}$ since $x \times \left(-\tfrac{1}{13}\right) = 1$.

(ii)

Let $x = -\tfrac{13}{19}$.
The multiplicative inverse of $x$ is $-\tfrac{19}{13}$ since $-\tfrac{13}{19} \times \left(-\tfrac{19}{13}\right) = 1$.

(iii)

Let $x = \tfrac{1}{5}$.
The multiplicative inverse of $x$ is $5$ since $\tfrac{1}{5} \times 5 = 1$.

(iv)

Let $x = -\tfrac{5}{8} \times \left(-\tfrac{3}{7}\right) = \tfrac{15}{56}$.
The multiplicative inverse of $x$ is $\tfrac{56}{15}$ since $\tfrac{15}{56} \times \tfrac{56}{15} = 1$.

(v)

Let $x = -1 \times \left(-\tfrac{2}{5}\right) = \tfrac{2}{5}$.
The multiplicative inverse of $x$ is $\tfrac{5}{2}$ since $\tfrac{2}{5} \times \tfrac{5}{2} = 1$.

(vi)

Let $x = -1$.
The multiplicative inverse of $x$ is $-1$ since $-1 \times (-1) = 1$.

(i)

मान लीजिए $x = -13$.
तो $x$ का गुणात्मक प्रतिलोम $;-\tfrac{1}{13}$ है क्योंकि $x \times \left(-\tfrac{1}{13}\right) = 1$.

(ii)

मान लीजिए $x = -\tfrac{13}{19}$.
तो $x$ का गुणात्मक प्रतिलोम $-\tfrac{19}{13}$ है क्योंकि $-\tfrac{13}{19} \times \left(-\tfrac{19}{13}\right) = 1$.

(iii)

मान लीजिए $x = \tfrac{1}{5}$.
तो $x$ का गुणात्मक प्रतिलोम $5$ है क्योंकि $\tfrac{1}{5} \times 5 = 1$.

(iv)

मान लीजिए $x = -\tfrac{5}{8} \times \left(-\tfrac{3}{7}\right) = \tfrac{15}{56}$.
तो $x$ का गुणात्मक प्रतिलोम $\tfrac{56}{15}$ है क्योंकि $\tfrac{15}{56} \times \tfrac{56}{15} = 1$.

(v)

मान लीजिए $x = -1 \times \left(-\tfrac{2}{5}\right) = \tfrac{2}{5}$.
तो $x$ का गुणात्मक प्रतिलोम $\tfrac{5}{2}$ है क्योंकि $\tfrac{2}{5} \times \tfrac{5}{2} = 1$.

(vi)

मान लीजिए $x = -1$.
तो $x$ का गुणात्मक प्रतिलोम $-1$ है क्योंकि $-1 \times (-1) = 1$.