Question

The reciprocal of 7/2 - 5/2 is 
a. 2
b. 1/2
c. 1
d. -1​

Answer 1

Answer:

'c' option 1 is the answer

Answer 2

Answer:

Option(c) 1 is the reciprocal of  $\frac{7}{2}$ - $\frac{5}{2}$

Step-by-step explanation:

Explanation:

Given that, $\frac{7}{2}$ - $\frac{5}{2}$

According to the question we need to tell the reciprocal of  $\frac{7}{2}$ - $\frac{5}{2}$.

• Reciprocal - A number that when multiplied by a number x results in the multiplicative identity 1, is known as a multiplicative inverse or reciprocal.

• It is indicated by $\frac{1}{x} = x^{-1}$ . A fraction a/b has a multiplicative inverse of $\frac{b}{a}$. Divide 1 by the real number to obtain the multiplicative inverse of the number.

Step 1:

We have, $\frac{7}{2}$ - $\frac{5}{2}$

Here we can see that both fractions have the same denominator which is 2.

⇒ $\frac{7 - 5}{2}$ = $\frac{2}{2}$ = 1

And reciprocal of 1 is always 1.

Final answer:

Hence, 1 is the reciprocal of  $\frac{7}{2}$ - $\frac{5}{2}$.

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