How do the gcf and the lcm you when multiplying and adding or subracting fractions

GCF: the greatest common factor of numerator and denominator is a factor that can be removed to reduce the fraction.

  Example

The numerator and denominator of 6/8 have GCF of 2:

  6/8 = (2·3)/(2·4)

The fraction can be reduced by canceling those factors.

  (2·3)/(2·4) = (2/2)·(3/4) = 1·(3/4) = 3/4

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LCM: the least common multiple of the denominators is suitable as a common denominator. Addition and subtraction are easily performed on the numerators when the denominator is common.

  Example

The fractions 2/3 and 1/5 can be added using a common denominator of LCM(3, 5) = 15.

  2/3 + 1/5 = 10/15 + 3/15 = (10+3)/15 = 13/15

.there can be infinite values of m and n that can satisfy the above equation. for each value of m of m or n. there maybe infinite sets of solution for the above

step-by-step explanation:

there has been genes found in the x chromosome of males that have been linked to [homo/hetero]sexuality. in addition to the reign of the x chromosome, a section of chromosome 8 has also been link to, "alot of ppl are so " these facts were proven true after a 2014 study of a gay male and his strait brother. according to newscientist.com,"chromosome 14 and is mainly active in the thyroid, but also the brain. called tshr, it makes a type of receptor protein that recognises and binds to a hormone that stimulates the thyroid. in this way, the gene plays an important role in controlling thyroid function. the fact that tshr seems to be involved in sexual orientation fits with evidence that thyroid function seems to be linked to sexuality."

in conclusion, "ppl are so gay" due to their genetics.