Question

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Answer 1

where are they?

Answer 2

hmmm have you done addition of fractions yet?

Answer 3

so... if you were to add those two... what hmm would you end up with above ** without adding the terms yet **

Answer 4

hehe... one sec... I was using 480... but 240 will do

Answer 5

yeap.... you're correct

so... one sec

Answer 6

\(\bf \cfrac{ 5 }{ 16a^3b^3 },\cfrac{ 7 }{ 30a^5b }\implies \cfrac{75a^2\ , \ 56b^2}{240a^5b^3}\impliedby \textit{distributing the denominator}
\\ \quad \\
\cfrac{75a^2}{240a^5b^3}\quad ,\quad \cfrac{56b^2}{240a^5b^3}\impliedby \textit{each fraction in the LCM term}\)

Answer 7

so..notice, if you were to add them, you'd end up with two terms above, and one denominator below, the LCM
so... just distribute the denominator, and you'd get two fractions, with that denominator :)

Answer 8

From Mathematica:
\[\text{PolynomialLCM}\left[30 a^5 b,16 a^3 b^3\right]=240 a^5 b^3 \]

Answer 9

that's correct :)