Question

prove that 100_100/100_100=0.5

Answer 1

$\frac{100 - 100}{100 - 100} = \frac{10(10 - 10)}{10 {}^{2} - 10 {}^{2} }$
$\frac{10(10 - 10)}{(10 + 10)(10 - 10)} = \frac{10}{10 + 10}$

=10/20

=1/2

=0.5

But remember this is 0/0 form ie undefined

Answer 2

Hello!

$\dfrac{\bf{100-100}}{\bf{100-100}}$

⇒ $\dfrac{10(10-10)}{10^{2} - 10^{2}}$

⇒ $\dfrac{10(10-10)}{(10+10)(10-10)}$

⇒ $\dfrac{10}{10+10}$

⇒ $\dfrac{10}{20} = \dfrac{1}{2} = \bf{0.5}$

$\boxed{\sf HENCE\:PROVED}$

Cheers!