Add or subtract, as indicated. 5/12x^2y - 11/6xy

Question

Accepted Answer

Hey everyone here we are asked to subtract and simplify the given expression where we have three divided by eight A. B squared minus seven divided by four A. B. So before we begin subtracting these two fractions, we first need to find a common denominator. So to find a common denominator between these two denominator here we have to find the least common multiple between these two values. So looking at the values in our denominators here we have eight A. B squared and we have four A. B. Well looking at these two values, we see that they both share and a term. And we also see that B squared is a multiple of B. And that at eight is a multiple of four. So our least common multiple in this case is just going to be our larger denominator here of eight A. B squared. So now we just need to find the value that we need to multiply each fraction by so that they share this common denominator. So to do this we just take our least common multiple and divided by each denominator. So beginning with our first denominator we have the least common multiple of eight A. B squared divided by the denominator of eight A. B squared. Well this just simplifies to one. And for our second denominator we will have eight A. B squared divided by for A. B. Which just simplifies to to be. So now we need to multiply the numerator and denominators of each fraction by their respective value. So starting with our first fraction where we have three divided by eight A. B squared. Well we found that we just multiply the numerator and denominator by one. And then we subtract our second fraction where we had seven we have seven divided by for A. B. And we need to multiply the numerator and the denominator by two B. So now simplifying our expression here we see that we have three divided by eight A. B squared minus seven times to be gives us 14 B divided by eight A. B squared. And now since we have common denominators we can simply subtract the enumerators. So we have three. The quantity of three minus 14 B divided by eight A. B. Squared. And now we see that there aren't any other simplifications of which we can make here. So this is our final simplified answer which is answer choice D. Thanks for watching. I hope you found this video helpful and I'll see you again next time.

Add or subtract, as indicated. 5/12x^2y - 11/6xy

Key Concepts

Like Terms

Common Denominator

Simplifying Expressions

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