Question

If 1/3+1/x = 3, then x value is equal to________.

Answer 1

Answer: The value of x is 3/8.

Step-by-step explanation:

1/3+1/x = 3

(3=3/1)

We will transpose 1/3 to RHS and when we transpose any term its sign changes.

So, 1/x = 3/1-1/3

(Taking LCM 3 we will solve it )

1/x = 9-1/3

1/x = 8/3

By cross multiplication,

8*x = 1*3

8x = 3

x = 3/8

Hope, this answer will help you.

Answer 2

The value of x is 3/8.

Given - Sum of fraction

Find - Value of x

Solution - Performing addition of the fractions to find the value of x.

Also, as per the known rule of fraction, we can represent 3 on Right Hand Side as $\frac{3}{1}$

Now, solving the equation accordingly.

$\frac{1}{3} + \frac{1}{x} = \frac{3}{1}$

Shifting numerical fraction from Left Hand Side to Right Hand Side

$\frac{1}{x} = \frac{3}{1} - \frac{1}{3}$

Taking LCM on Right Hand Side, we get 3.

$\frac{1}{x} = \frac{(3 \times 3) \: - 1}{3}$

Performing multiplication in numerator

$\frac{1}{x} = \frac{9 - 1}{3}$

Performing subtraction in numerator

$\frac{1}{x} = \frac{8}{3}$

$x = \frac{3}{8}$

Hence, the value of x is 3/8.

#spj2