Posted by **Karen** on Tuesday, June 23, 2009 at 10:49am.

Post your response to the following: How are the concepts of the Greatest Common Factors (GCF), divisibility, and Lowest Common Multiple (LCM) used when computing fractions? Provide an example and demonstrate how the concepts are used.

- math 156 -
**MathMate**, Tuesday, June 23, 2009 at 11:03am
Example of application to fractions:

5/6+ 7/15

= 25/30 + 14/30 ..... (1)

= 39/30

= 13/10 .... (2)

= 1 3/10

(1) LCM of denominators 6 and 15 is 30

(2) To simplify a fraction to simplest terms, both numberator and denominator are divided by the GCF.

In order to find the GCF or the LCM, divisibility is needed to factorize the numbers.

However, divisibility is not required to find LCM or GCF if the extended Euclidean algorithm is used.

http://en.wikipedia.org/wiki/Extended_Euclidean_algorithm

## Answer This Question

## Related Questions

- math 156 - how are concepts of the greatest common factors divisibility, and ...
- MATH 156 - How do you add and subtract fractions? Provide an example and ...
- Algebra - I need a step by step explanation of finding the GCF of (6ysquare -3y...
- Math - I still do not understand Today was my first day learning how to add 3 ...
- math - I don not understand how to do least common mutiples. Can I please get ...
- math,algebra,bobpursley - Let me know if this is correct now: (1)Finding the lcm...
- M,ath - How do we find the greatest common factor of a polynomial? Demonstrate ...
- 5th grade math - what is the least common multiple The least common multiple is ...
- Psychogy - 1. CheckPoint: Eating—What, When, and How Much • Post a 100-to 150-...
- math , algebra - Let me know if this is correct : (1)Finding the lcm using which...

More Related Questions