Question

x/2-2=4+1/4 please tell answer​

Answer 1

Let's solve your equation step-by-step.

$\frac{x}{2}-2=4+\frac{1}{4}$

Step 1: Simplify the equation.

⇒ $\frac{x}{2}-2=4+\frac{1}{4}$

⇒ $\frac{x}{2}-2=\frac{4\times 4 }{1\times 4 } +\frac{1}{4}$

⇒ $\frac{x}{2}-2=\frac{16}{4 } +\frac{1}{4}$

⇒ $\frac{x}{2}-2=\frac{17}{4 }$

Step 2: Add 2 to both sides.

⇒ $\frac{x}{2}-2+2=\frac{17}{4 }+2$

⇒ $\frac{x}{2}=\frac{17}{4 }+\frac{2\times 4 }{1\times 4 }$

⇒ $\frac{x}{2}=\frac{17}{4 }+\frac{8}{ 4 }$

⇒ $\frac{x}{2}=\frac{25}{4 }$

Step 3: Cross Multiply

⇒ $x\times (4)=(25)\times (2)$

⇒ $4x=50$

Step 4: Divide both sides by 4.

⇒ $\frac{4x}{4}=\frac{50}{4}$

⇒ $x=\frac{50}{4}$

⇒ $x=\frac{50\div 2 }{4\div 2 }$

⇒ $x=\frac{25}{2}$

⇒ $x= 12.5$

$\rule{300}{0.5}$

Verification if x = 12.5

⇒ $\frac{x}{2}-2=4+\frac{1}{4}$

⇒ $\frac{12.5}{2}-2=4+\frac{1}{4}$

⇒ $6.25-2=\frac{4\times 4 }{1\times 4 } +\frac{1}{4}$

⇒ $4.25 = \frac{16}{4}+\frac{1}{4}$

⇒ $4.25 = \frac{17}{4}$

⇒ $4.25=4.25$

$\rule{300}{0.5}$

$\sf\bf \therefore \ x = \frac{25}{2} \ or \ 12.5 \ in \ the \ equation \ => \frac{x}{2}-2=4+\frac{1}{4}$

$\rule{300}{0.5}$

Additional Information :)

What is an equation?

A mathematical statement which consists of an equal sign between two algebraic expressions is known as an algebraic equation.

What does an equation consist of?

An equation mainly consists of three parts. They are =>

• Left Hand Side (LHS)
• Right Hand Side (RHS)
• Equal sign