Add or subtract, as indicated. See Example 4.

3 5
—— + ——
2k 3...

Question

Add or subtract, as indicated. See Example 4.

3 5
—— + ——
 2k 3k

Accepted Answer

Hey, everyone here we are asked to perform the indicated operations and simplify for the given rational expression. Nine divided by four U plus 11, divided by five U. Here we have four answer choice options, answer choice. A one divided by U, answer B 20 divided by U answer C 89 divided by nine U and answer D 89 divided by 20 U. So before we can sum the two given terms in the expression, we first need to find common denominators. So to find common denominators, we first need to determine the least common multiple between these two values. So here we have four U and we have five U. We see both terms share the variable use. So that will be included in our least common multiple. And now we cannot reduce either of the coefficients. So in order to find the least common multiple of these values, we need to just multiply them together. So four times five gives us 20 therefore our least common multiple is 20 U. So now we just need to manipulate both of our terms so that they have a denominator of 20 U. So starting with our first term, again, we have nine divided by four U. We now need to multiply the numerator and the denominator by five. And with our second term, we have plus 11 5 U. And now we need to multiply its numerator and the denominator by four. And now just simplifying, we have 45 divided by 20 U plus 44 divided by 20 U. And now we see we have our common denominators for both fractions. So we can start simplifying by combining the numerators. So we have 45 plus 44 all divided by 20 U. And now just combining like terms, we have 89 divided by 20 U. And there are no further simplifications that we can make. So this is our final simplified answer which leaves us with answer choice D where again our solution is 89 divided by 20 U. Thanks for watching. I hope you found this video helpful and I'll see you again next time.

Add or subtract, as indicated. See Example 4. 3 5 —— + —— 2k 3k

Key Concepts

Fraction Addition and Subtraction

Simplifying Fractions

Variable Representation in Fractions

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