Question

x/2+x/4=1/8 Find the value of x

Answer 1

Answer:

x=1/6

Step-by-step explanation:

x/2+x/4=1/8

8(x/2+x/4=1/8)

4x+2x=1

6x=1

x=1/6

Answer 2

★ Solution :-

In the question, we're given with am equation which has two same variables namely x. We are asked to find the value of the same. The given equation is,

$\sf \leadsto \dfrac{x}{2} + \dfrac{x}{4} = \dfrac{1}{8}$

Now, let's solve and find the value of x. Later, we can check our answer.

$\sf \leadsto \dfrac{x}{2} + \dfrac{x}{4} = \dfrac{1}{8}$

$\sf \leadsto \dfrac{2x + x}{4} = \dfrac{1}{8}$

$\sf \leadsto \dfrac{3x}{4} = \dfrac{1}{8}$

$\sf \leadsto 3x = \dfrac{1}{8} \times 4$

$\sf \leadsto 3x = \dfrac{4}{8}$

$\sf \leadsto 3x = \dfrac{1}{2}$

$\sf \leadsto x = \dfrac{\dfrac{1}{2}}{3}$

$\sf \leadsto x = \dfrac{1}{2} \times \dfrac{1}{3}$

$\sf \leadsto x = \dfrac{1}{6}$

Therefore, the value of x is ⅙.

Now, we can check our answer.

$\sf \leadsto \dfrac{x}{2} + \dfrac{x}{4} = \dfrac{1}{8}$

$\sf \leadsto \dfrac{\dfrac{1}{6}}{2} + \dfrac{\dfrac{1}{6}}{4} = \dfrac{1}{8}$

$\sf \leadsto \bigg( \dfrac{1}{6} \times \dfrac{1}{2} \bigg) + \bigg( \dfrac{1}{6} \times \dfrac{1}{4} \bigg) = \dfrac{1}{8}$

$\sf \leadsto \dfrac{1}{12} + \dfrac{1}{24} = \dfrac{1}{8}$

$\sf \leadsto \dfrac{2 + 1}{24} = \dfrac{1}{8}$

$\sf \leadsto \dfrac{3}{24} = \dfrac{1}{8}$

$\sf \leadsto 8(3) = 24(1)$

$\sf \leadsto 24 = 24$

Hence, verified !!