Number Theory Proof please

For students of class 9-10 (age 14-16)
sakib.creza
Posts:26
Joined:Sat Nov 03, 2012 6:36 am
Number Theory Proof please

Unread post by sakib.creza » Tue Feb 12, 2013 7:14 pm

If $e=\frac{a}{b}=\frac{c}{d}$, where $b>d$ and $a>c$ prove that $e=\frac{a-c}{b-d}$
I know it is true but have failed to prove it. Can someone pull me out of this misery please?

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Fahim Shahriar
Posts:138
Joined:Sun Dec 18, 2011 12:53 pm

Re: Number Theory Proof please

Unread post by Fahim Shahriar » Tue Feb 12, 2013 7:27 pm

$a=be$ and $c=de$
$\frac {a-c}{b-d} = \frac {be-de}{b-d} = \frac {e(b-d)}{b-d} = e$
Name: Fahim Shahriar Shakkhor
Notre Dame College

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