Question

what is the multiplicative inverse of 2 1/2​

Answer 1

Solution :-

We know that ,

• The multiplicative inverse of a number is the number which when multiplied by the original number gives the result as 1 .
• Multiplicative inverse of a = 1/a .

So, let multiplicative inverse of given number is x .

then,

→ Original number * multiplicative inverse = 1

→ 2(1/2) * x = 1

→ (5/2) * x = 1

→ x = 1/(5/2)

→ x = 1 * (2/5)

→ x = (2/5) (Ans.)

Hence, the multiplicative inverse of given number is equal to (2/5) .

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Answer 2

Step by Step Explanation:

Given: The number $2\frac{1}{2}$.

To Find: The Multiplicative Inverse of $2\frac{1}{2}$

• We know, Multiplicative inverse or Reciprocal of a number $x$ is  $\frac{1}{x}$ for which $x\times\frac{1}{x}=1$ that is, when the number is multiplied with its multiplicative inverse, the product comes out to be $1$.
• To find the Multiplicative Inverse of $2\frac{1}{2}$, we must change it into improper fraction,

        ⇒ $\frac{2\times2+1}{2}$

        ⇒ $\frac{5}{2}$

• Therefore, we need to find the multiplicative inverse of $\frac{5}{2}$.

        ⇒ $\frac{5}{2}\times multiplicative\ inverse=1$

        ⇒ $multiplicative\ inverse = \frac{2}{5}$

Hence, The Multiplicative Inverse of $2\frac{1}{2}$ is $\frac{2}{5}$.