S sagar1127 New member Joined Mar 27, 2006 Messages 20 Jan 8, 2007 #1 How and what would be the answer to this question: If a/b = c/d Show your work on how you can get that to this: a+b/b = c+d/d
How and what would be the answer to this question: If a/b = c/d Show your work on how you can get that to this: a+b/b = c+d/d
pka Elite Member Joined Jan 29, 2005 Messages 11,978 Jan 8, 2007 #2 Add 1 to both sides. Realize that: \(\displaystyle \frac {b} {b} = \frac {d} {d} = 1\)
S sagar1127 New member Joined Mar 27, 2006 Messages 20 Jan 8, 2007 #3 Thx but what you are saying is that to make that into the second part all you have to do is add 1 to each side.
Thx but what you are saying is that to make that into the second part all you have to do is add 1 to each side.
pka Elite Member Joined Jan 29, 2005 Messages 11,978 Jan 8, 2007 #4 \(\displaystyle \L \begin{array}{rcl} \frac{a}{b} & = & \frac{c}{d} \\ \frac{a}{b} + 1 & = & \frac{c}{d} + 1 \\ \frac{a}{b} + \frac{b}{b} & = & \frac{c}{d} + \frac{d}{d} \\ \frac{{a + b}}{b} & = & \frac{{c + d}}{d} \\ \end{array}\)
\(\displaystyle \L \begin{array}{rcl} \frac{a}{b} & = & \frac{c}{d} \\ \frac{a}{b} + 1 & = & \frac{c}{d} + 1 \\ \frac{a}{b} + \frac{b}{b} & = & \frac{c}{d} + \frac{d}{d} \\ \frac{{a + b}}{b} & = & \frac{{c + d}}{d} \\ \end{array}\)
