Question

Add(-4/3)to the multiplicative inverse of 13/7

Answer 1

The answer is $\dfrac{-31}{39}$.

Step-by-step explanation:

• To solve this question, it is necessary to understand the multiplicative inverse.

• Multiplicative inverse of a number, is the quantity or number which gives one, when it multiplies with itself.
• In other words, we can say multiplicative inverse of a number is inverse of itself.

• For, example the multiplicative inverse of 2 is $\dfrac{1}{2}$, multiplicative inverse of 9 is $\dfrac{1}{9}$.

• Similarly, the multiplicative inverse of x is $\dfrac{1}{x}$.

Now, the multiplicative inverse of $\dfrac{13}{7}$ will be founs as;

• Multiplicative inverse of $\dfrac{13}{7}$= $\dfrac{1}{\dfrac{13}{7}}$

      =$\dfrac{7}{13}$

According to the question,

• $\dfrac{-4}{3} + \dfrac{7}{13} = \dfrac{-31}{39}$

Thus, the answer is $\dfrac{-31}{39}$.