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18 August, 17:57

Each figure represents a Real Number and no denominators are zero. Choose the

correct statement and briefly explain why the others are not correct.

A) a/b + c/d = a+c/bd

B) a/b+c/d = a+c/b+d

C) a/b+c/d = ad+bc/bd

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  1. 18 August, 20:51
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    a) a/b+c/d = (a+c) / (bd)

    This is incorrect (unless b=1 and d=1) because a/bd

    does not equal a/b and c/bd does not equal c/d

    .

    b). a/b+c/d = (a+c) / (b+d)

    This is incorrect because you cannot add fractions merely by adding numerators and denominators.

    c). a/b+c/d = (ad+bc) / (bd)

    This is correct:

    ad + bc / bd = ad + bc / bd
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