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Add or subtract as indicated. Write answers in lowest terms as needed. See Example 6.$$ rac{5}{6}+ rac{2}{9}$$...

Question

Add or subtract as indicated. Write answers in lowest terms as needed. See Example 6.$$ rac{5}{6}+ rac{2}{9}$$

Add or subtract as indicated. Write answers in lowest terms as needed. See Example 6. $$ \frac{5}{6}+\frac{2}{9} $$



Answers

Add or subtract as indicated. Write the answer in lowers ferms. See Example 7. $$ \frac{3}{4}+\frac{1}{6} $$

Okay, so we're subtracting five and two nights. Many story in 16 Something to notice is when you have these, um, these kind of factions I haven't Two nights is actually this five plus two nights, and then we know that's minus three minus 16 It's three plus 16 That this minus that distributes to. So the first thing we gotta do is just attracted three of the five. So that gives me to now when you just attacked two nights times 16 So let's see. We need to find a common denominator for both of them. So six. Well, let's just want to put across and then reduce. So well, C plus two times 6/9 times six minus six times nine times 60 I'm sorry. That is not a six. That should be a nine. We'll go like this so we don't get confused. Okay, so then what that gives us is yet to moving down here. And then two times six is 12 plus 12 six times nine is 54 and then one times nine was attracting 9 50 force. So that gives us two and three 50. Force no question we need to ask ourselves is just going to 54. And the answer is yes, the quickly I think that it's three girls into 30 and 30 plus 24 is. You want 54? Um, and so three also goes into 24 3 times ages 24. So we know three does go into 54. So if we go ahead and divide the top of the bombing by three, we get to and one 18th.

We're adding some by no meals here. So we have 98 plus six B minus five nine a plus six B minus five. And then we're going to add to that negative 11 a minus seven B plus six because we're adding these two polynomial is we can kind of ignore the privacies. That was subtraction. We definitely could not ignore the parentheses. So I'm looking for, like, terms. You're SCN nine A and negative 11 A. Those were like terms because they both have the same variable nine minus 11 or nine. Plus, the 11 is negative, too. So we'll call that negative too, eh? And I see the six B and the negative seven b those air like terms because they have the same variable raised to the same power one six minus seven is negative one b. I'm not gonna write that one. I'm just gonna put negative B And then lastly, I see the negative five and deposit six. Those can be combined together to make one. So when you add these to try no meals together yet negative to a minus B plus one

Add these two fractions. We have to make sure we have a common denominator. So right now already do because well, for them have a tomato denominator wipe last night. So this means we can just add an uber Raiders together. We'll get nine plus wine minus by over. Why Class nine. Simplify our top and we'll get why, plus or over why plus nine.

Her. So we have 6/5 X plus 9/2 acts. So both of these, uh, have exes in them. But they're not the same denominator yet, so we have to find out what the least common denominator is. So it's definitely gonna have an accident because both fractions already have. X is in the denominators, but so now we have to worry about the five and the two. So the least common denominator between five and two is 10. So where lowest common denominator is 10 x. So the fraction on the left is going to need to be multiplied by two. But it needs to be to over two to keep the value of the fraction. And the one on the left is gonna need a five, and it's gonna need to be 5/5 for the same reason. That's going to give us 12/10 X plus 45 over 10 X. Now we can right this always one fraction. So it's over 10 x and then all we have to do is 12 plus 45 which is 57. So you're


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