Halves Everywhere

Algebra Level 1

Half of Half a number is half of 1 / 2 1/2

What is the number divided by half?


The answer is 2.

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2 solutions

Jaiveer Shekhawat
Nov 17, 2014

Let us assume the required number to be x .

Then half of x is x 2 \frac{x}{2}

half of half of x is x 2 \frac{x}{2} . \huge{.} 1 2 \frac{1}{2} = x 4 \frac{x}{4}

Half of 1 2 \frac{1}{2} is 1 4 \frac{1}{4}

Therefore,

x 4 \frac{x}{4} = 1 4 \frac{1}{4}

\huge{⇒} x =1

Thus,

x 1 2 \frac{x}{\cfrac{1}{2}}

1 1 2 \frac{1}{\cfrac{1}{2}}

\huge{⇒} 2 \huge{2}

The equation is: x 2 2 = 1 2 2 \frac{\frac{x}{2}}{2}=\frac{\frac{1}{2}}{2} Simplifying this Mess \textbf{Mess} ,we get(x=1).

Now for this part, T h i s I s N o t 1 2 ! ! ! ! ! ! ! ! ! ! ! \Large{This\;Is\;Not\;\frac{1}{2}!!!!!!!!!!!} This is 1 1 2 \frac{1}{\frac{1}{2}} which simplifies to 2 \boxed{2}

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