How To Add Rational Fractions

in this video we're going to find the leastcommon denominator or the least common multiple of monomials. now we already know tofind the least common denominator we use all factors with highest exponents from numbers.will with variables it works the exact same way we use again all factors with the highestexponent attach to each variable. now for this examples the numbers are going to besmall, so we will use mental math with the

How To Add Rational Fractions, numbers. we got 5x cube y squared and 4x squaredy to the 5th. we can probably look at 5 and 4 and figure out the least common multipleis of both of them. they both go into 20, so we're pretty sure 20 takes care ofthe numbers. as far as the variables go we follow the same process. we use all factors,there's x's and there's y's and will attach

the highest exponent. the highest exponenton x is cube, the highest exponent on a y is a 5th power. now we have the least commondenominator or least common multiple of both these monomials to be 20x cube y to the 5th.similarly if we want the least common denominator of 7 ab squared c and 3a to the 4th b. lookingat the numbers 3 and 7 we can pretty much see this is going to be 21. 3 and 7 both goinginto 21. but with the variables we see the variables a, b, and c. and we're going toattach the highest exponent to that. the highest exponent on a is a 4th power, the highestexponent on b is the second power, c only has a first power on it so the least commondenominator is 21a to the 4th b square. what we see is the least common denominator. wesimply have to use all factors with highest

exponents.