Question

Solve:-
$\frac{x}{2} + \frac{x}{4} = \frac{1}{8}$
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Answer 1

Step-by-step explanation:

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$\frac{x}{2} + \frac{x}{4} = \frac{1}{8} \\ \\ \frac{2x +x }{4} = \frac{1}{8} \\ \\ \frac{3x}{4} = \frac{1}{8} \\ \\ x = \frac{1}{8} \times \frac{4}{3} \\ \\ x = \frac{1}{6}$

Answer 2

Given :

• $\frac{x}{2} + \frac{x}{4} = \frac{1}{8}$

To find :

• To solve $\frac{x}{2} + \frac{x}{4} = \frac{1}{8}$

According to the question :

In these cases, we must cross multiply ✖ then must multiply the denominators

Equation :

⟹ $\frac{x}{2} + \frac{x}{4} = \frac{1}{8}$

⟹ $\frac{(4 × x ) + ( 2 × x )}{2 × 4 } = \frac{1}{8}$

⟹ $\frac{4x + 2x}{8} = \frac{1}{8}$

⟹ $\frac{6x}{8} = \frac{1}{8}$

⟹ $\frac{6x}{8} × \frac{1}{8}$

⟹ $\frac{6x}{ \cancel{8}} × \frac{ \cancel{8}}{1}$

⟹ $6x = 1$

⟹ $\boxed{x = \frac{1}{6}}$

So, It's Done !!