Fraction confusionI read in a set of memoranda that if b − x x = b a , then x = a b a + b How is this true? I tried working it out but I could not understand. Please help.

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Fraction confusionI read in a set of memoranda that if             b      −      x        x    =      b    a  , then  x  =            a      b              a      +      b      How is this true? I tried working it out but I could not understand. Please help.

Belen Bentley · Accepted Answer

You have             b      −      x        x    =      b    a    ⇔  b  −  x  =  x      b    a  That implies   b  =  x      (    1    +          b      a        )  And finally, you get  x  =      b          1      +              b        a            And it&#039;s the same as  x  =            a      b              a      +      b

Carolyn Beck · Accepted Answer

b      −      x        x    =      b    x    −  1I think this is the step you&#039;re looking for :            b      −      x        x    =      b    a        b    x    =      b    a    +  1  =            a      +      b        a  I think you&#039;re now able to do it...

Fraction confusion I read in a set of memoranda that if b −

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