Question
Simplify each complex rational expression. In each case, list any values of the variables for which the fractions are not defined.$ rac{ rac{1}{6}+ rac{1}{4}}{ rac{1}{3}+ rac{1}{2}}$
Simplify each complex rational expression. In each case, list any values of the variables for which the fractions are not defined. $\frac{\frac{1}{6}+\frac{1}{4}}{\frac{1}{3}+\frac{1}{2}}$
Answers
Simplify each complex rational expression. In each case, list any values of the variables for which the fractions are not defined.
$\frac{\frac{1}{6}+\frac{1}{4}}{\frac{1}{3}+\frac{1}{2}}$
Okay, we're gonna do to problem number four. We have two fists all over for we're gonna simplify this. This is the same as saying to this divided by or when you divide. It's the same as multiplying by the reciprocal. And when you multiply fractions, you take the top. The numerator is by each other and the denominators times each other. This is gonna leave us as to over 20. We can reduce that down to one over 10 and that's our answer.
English question were simple. Fired. 38 over one and 3/4 ritual. Let's simplify the denominator. So let's kick 3/8 as it s and the denominator could be return as war, which is the, uh, the four in the bottom and the one in afford that gets you four plus three, which was going to sell it the seven before. And now we're gonna keep the new murder 7/8 And then because we're dividing seven before we're gonna multiplied by its reciprocal for seven. Okay, Luke in town, seven and seven could be reduced. And in Florida and eight, I can divide for both on top. On bottom, I get one house as the final results simplification.
Okay, this is problem number six. And we have to over X. I'll over one over to X, and we're going to simplify this and list any values where, um, the variable would be undefined. So this is the same. A stay and saying to x divided by one over to X. When you divide that, it's the same thing is multiplying by the reciprocal. So I'm gonna have to x over one here. I could do the cross reduction, and I can actually cross this out. Medical one. Cross this out and make it two. So I'm gonna have or over one. So my answer here, the simplified version is Or now we know, though, that if a denominator is zero, it makes it undefined, so X cannot equal zero
Hey, we're gonna solve her problem, mate. We have one less one over a all over a plus one. If we make this into basically I'm mixed number. That's the same s a plus one all over a And this is all being divided by a plus one. This is the same as saying a plus one all over, eh? We're gonna multiply by the reciprocal. So that's one over. A less one we can cross reduce. That's a plus one goes an A plus one, multiply one times one and get one multiple a multiple, a buy one and you get Hey, so that's our answer here. Now, the variables that cannot be are zero because in the very top numerator, we have won over a And if that day would be zero that be undefined and you wouldn't be able to add the one and the other one is negative on because on the original denominator a plus one If you set out to zero your ace gonna be zero r a will be negative one