Why is ( 1 2 ) x = 1 7 the same as saying: ( 2 ) x = 7Sorry for the really dumb question but I'd like to see the process of how this is achieved.

Question

Why is             (              1        2            )              x        =      1    7   the same as saying:    (  2      )          x        =  7Sorry for the really dumb question but I&#039;d like to see the process of how this is achieved.

zepplinkid7yk · Accepted Answer

Consider an equality when two fractions are present:a&amp;nbsp;b&amp;nbsp;=&amp;nbsp;c&amp;nbsp;d&amp;nbsp;where&amp;nbsp;b&amp;nbsp;≠&amp;nbsp;0&amp;nbsp;≠&amp;nbsp;d. We can flip them over, and say thatb&amp;nbsp;a&amp;nbsp;=&amp;nbsp;d&amp;nbsp;c&amp;nbsp;where&amp;nbsp;a&amp;nbsp;≠&amp;nbsp;0&amp;nbsp;≠&amp;nbsp;cApplying that to this. Initially, we distribute the&amp;nbsp;x:(&amp;nbsp;1&amp;nbsp;2&amp;nbsp;)&amp;nbsp;x&amp;nbsp;=&amp;nbsp;1&amp;nbsp;x&amp;nbsp;2&amp;nbsp;x&amp;nbsp;Now let&#039;s add this back in:1&amp;nbsp;x&amp;nbsp;2&amp;nbsp;x&amp;nbsp;=&amp;nbsp;1&amp;nbsp;7&amp;nbsp;If we flip this, we have2&amp;nbsp;x&amp;nbsp;1&amp;nbsp;x&amp;nbsp;=&amp;nbsp;7&amp;nbsp;1&amp;nbsp;Finally, consider what&amp;nbsp;1&amp;nbsp;x&amp;nbsp;equals, and what&amp;nbsp;7&amp;nbsp;1&amp;nbsp;simplifies to.

Zeihergp · Accepted Answer

7  =      1          1              /            7        =      1          (      1              /            2              )        x              =            (              1        2            )              −      x        =      1          2              −        x              =      2    x

Why is ( 1 2 </mfrac> ) </mrow> <mrow clas

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