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Algebra rearranging operations help

falcios

New member
Jul 31, 2013
3
How does this formula SPI = EV / PV rearrange to this formula EV = SPI * PV
Why does the operation change from multiply to divide?

Thanks for the help.
 

MarkFL

Administrator
Staff member
Feb 24, 2012
13,775
We begin with:

\(\displaystyle SPI=\frac{EV}{PV}\)

If we next multiply both sides by $PV$, we get:

\(\displaystyle SPI\cdot PV=\frac{EV}{PV}\cdot PV=EV\cdot\frac{PV}{PV}=EV\cdot1=EV\)
 

Deveno

Well-known member
MHB Math Scholar
Feb 15, 2012
1,967
-
The answer to your "why" question is this:

Division is the same as multiplying by a reciprocal, that is:

\(\displaystyle \frac{a}{b} = a*\frac{1}{b}\)