84.7k views
1 vote
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.
Answer:

User Khateeb
by
8.0k points

1 Answer

3 votes
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.
User Bryce Thomas
by
8.0k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.