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15 January, 01:42

1. Provide a counterexample that shows the statement is false. Explain why the counterexample makes the statement false.

If two fractions have unlike denominators, then the LCD is the product of their denominators.

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  1. 15 January, 01:52
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    Counterexample: 2/10 and 3/8

    The product of the two denominators is 10*8 = 80

    The LCD is found by mulitplying the non common prime factors and the common prime factors raised to the higher power:

    10 = 2*5

    8 = 2^3

    LCD = (2^3) * 5 = 8 * 40.

    This counterexample shows the statement is false.
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