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Mathematics 14 Online
OpenStudy (df001):

Help with Algebra! (S-1/S)-(T+1/T)

OpenStudy (df001):

\[\frac{ S-1 }{ S} - \frac{ T+1 }{ T }\]

OpenStudy (df001):

The LCD is ST but, why can't ST be distributed to S-1 and T+1?

hero (hero):

Multiply the first fraction by T/T and the 2nd fraction by s/s

OpenStudy (df001):

But why not ST since ST is the LCD?

hero (hero):

Try doing the step I just mentioned first. You might discover something In the process.

OpenStudy (df001):

I figured it to be multiplied by t/t but, I was told to multiple the numerator and the denominator by the LCD..

OpenStudy (df001):

the answer is 1t-1s/ts but, I just wanted to know if the LCD is ST then why is only T/T multiplied to the first fraction and S/S multiplied to the other

OpenStudy (df001):

Are there exceptions or rules to this

hero (hero):

If you do the work, you will discover Why for yourself.

OpenStudy (df001):

I know how the work is done and I know how to find the LCD but, I don't know why cant I distribute the whole LCD

OpenStudy (df001):

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