Add or subtract, as indicated. 3/2k + 5/3k

Question

Accepted Answer

Hey everyone here we are asked to add and simplify the given expression where we have nine divided by four H plus seven divided by five H. So to begin adding these terms together we first need to recall that when we add fractions we need to find a common denominator. So we need to find the least common multiple between these two denominators here and we see that they share a common factor of just H. But they do not share a common factor for the coefficients. So we just need to multiply the coefficients together. So we have the quantity of four times five times H. Which just gives us the least common multiple of 20 H. And so now we need to find the value of which we need to multiply each fraction by so that they they both share the common denominator of 20 H. So to do this we just take our least common multiple and divide it by each denominator so our least common multiple. Again we have 20 H. And we can divide it by our first denominator here which is just four H. Simplifying. We see that 20 H divided by four H. Is just five next with our second denominator. Again we take 20 H. And now divided by five H. Which just simplifies to four. So now we just need to multiply the numerator and the denominator of each fraction by their respective value. So again that they both share the common denominator. So doing this with our first fraction where we have nine divided by four H. Well we need to multiply the numerator and the denominator by five. Next with our second fraction of seven divided by five H. We just multiply the numerator and the denominator by four. So now simplifying both fractions, we have 45 divided by 20 H. Plus 28 divided by two 20 H. And now since we have a common denominator we can add simply add the enumerators of both fractions. So we have the quantity of 45 plus divided by 20 H. Now just adding the enumerators together. 45 plus 20 Eight gives us 73 divided by 20 h. And now we can see that 73 and 20 do not share any common factors. So this is our final simplified answer which leaves us with answer choice b. Thanks for watching. I hope you found this video helpful and I'll see you again next time.

Add or subtract, as indicated. 3/2k + 5/3k

Key Concepts

Like Terms

Finding a Common Denominator

Simplifying Expressions

Watch next