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## anonymous one year ago any who helps I will give a medal! 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. anonymous

@Michele_Laino

2. misty1212

HI!!

3. misty1212

do you know what you are being asked to do?

4. anonymous

LCD of a/b and c/d is given by LCD(a,c)/LCM(b,d). Consider example, 5/6 and 4/15. Here LCD=LCD(5,4)/LCM(6,15)=1/30. However, the product of their denominators is 60. This is a counter example.

5. anonymous

LCD of a/b and c/d is given by LCD(a,c)/LCM(b,d). Consider example, 5/6 and 4/15. Here LCD=LCD(5,4)/LCM(6,15)=1/30. However, the product of their denominators is 60. This is a counter example.

6. anonymous

no can you help me @misty1212

7. misty1212

ok sure

8. misty1212

If two fractions have unlike denominators, then the LCD is the product of their denominators you want a "counter example" that means you want an example of two fractions with unlike denominators where the least common multiple of the denominators is NOT their produce

9. misty1212

so for example if the denominators had a common factor, like 4 and 12, then the least common multiple of 4 and 12 is just 12, not $$4\times 12$$ that is all you need for a "counter example"

10. misty1212

in simple english you have to provide an example of two fractions whose least common denominator is NOT found by multiplying the denominators together

11. anonymous

ok

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