Question

If the multiplicative inverse of
x+1/x=2/3 then find x ​

Answer 1

The value of x is 2.

• One of the four fundamental mathematical operations, along with addition, subtraction, and multiplication, is division. Division is the process of dividing a larger group into smaller groups so that each group contains an equal number of things. It is a mathematical operation used for equal distribution and equal grouping.
• Repetitive subtraction is the process of division. It is the multiplication operation's opposite. It is described as the process of creating equitable groups. When dividing numbers, we break a larger number down into smaller ones so that the larger number taken will be equal to the multiplication of the smaller numbers.

Here, according to the given information, we are given that,

$\frac{x+1}{x}$

Now, the multiplicative inverse of $\frac{x+1}{x}$ is $\frac{1}{\frac{x+1}{x} } = \frac{x}{x+1} .$

Now, $\frac{x}{x+1} = \frac{2}{3} .$

Or, $3x=2x+2.$

Or, $x=2.$

Hence, the value of x is 2.

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