Question

The sum of the multiplicative inverse of $\frac{5}{7}$ and additive inverse of $\frac{7}{5}$ equals

• A. $\frac{7}{5}$
• B. $\frac{5}{7}$
• C. 1
• D. 0

Answer 1

The correct option is D 0

Multiplicative inverse of a number is that number which when multiplied with the given number, gives 1.
Multiplicative inverse of $\frac{5}{7}$ is $\frac{7}{5}$, since $\frac{5}{7}\times \frac{7}{5}=1$
Additive inverse of a number is a number that when added to a given number, gives 0.
Additive inverse of $\frac{7}{5}$ is $-\frac{7}{5}$, since $\frac{7}{5}+(-\frac{7}{5})=0$
Now, the required sum is $\frac{7}{5}+(-\frac{7}{5})$, which equals 0.