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In the following exercises, convert each percent to (a) a simplified fraction and (b) a decimal.
In $2012,13.5 \%$ of the United States population was age 65 or over. (Source: www.census.gov)

So we have four and 2/10 percent. We're gonna turn it into a fraction and simplify it, and then we're going to turn it into a decimal. So keeping in mind that percent means per 100 we're gonna take our foreign too tense and put it over a denominator of 100. Now we're not allowed to have decimals infractions. So technically, we're going to multiply the numerator and denominator by 10. Whatever we do to the numerator, we have to do the denominator. We end up with 42 over 1000. Now, in order to simplify it, we need to find a G C F. The greatest common factor thes air, both even numbers. So we know that they're both divisible by two, which also happens to be our greatest common factor. So when we divide those, both by two, we end up with 21 over 500 or 21 5 hundreds. Now, in order to go from a percent to a decimal, all we need to do is take our decimal point and move it to places to the left. And in this empty spot right here, we need to put a zero. We need to have a place holder. So we know that four and 2/10 percent is equal to the fraction I'm sorry is equal to the decimal 42 thousands.

So for this one, we know that if we're looking for the total number of a total percent of the people that voted for the opposition, we have to add the eighty percent to the currently existing. So the currently existing is one nine, too, because it's a support for Proposition is the total is one ninety two. So we have to add that eighty percent. OK, so then let's go to find out what that eighty percent would be. So we know that the eighty percent is going to be made up of the undecided, so ninety times your point eight. So it's eighty percent of the ninety that are undecided, and that gives the seventy two So then again, we just have to plug that in right there and saying one ninety two plus seventy two. And that gives us two sixty four. But because we're looking for a percent, we have to take that number divided by the total, and that should give us fifty two point eight percent

OK, It's a 350 out of 500 refer soda over mouth. Okay, so if there are eight children attending a party and Okay, what if since chance that all of the children would prefer so Oh, okay. That's this. Out of all of our children. Who? First solo with you 3 50 you would choose it of them over 540%. We choose eight of them. I can't tell you that. In we get 0.563 which is approximately 5463 presents.

So I'm looking at numbers of people have taken the A C T test. We have a value for 2000. We have a value for 2009 and we want to know by what percent did the number increase over this period of time. So if we have the amount in 2000 plus some percent of that number in 2000 that's going to equal the number in 2009. So let's fill in what we know we know. The number in 2000 was 1,065,138 students. We don't know the percents. That's what we're trying to find that's going to be our X. So it's going to be 1,065,100 38 38. Yes, equals 1,480,469. So we need to go ahead and solve this for X, and we're going to subtract 1,065,138 from both sides. So if I do 1,480,000 469 minus 1,065,138 that's going to give me 415,331 and that's equal to 1,065,138 X. Now I'm gonna divide both sides by 1,065,138. And that's going to give me X equals point. Uh, it gives me a 0.38993 So if I around that little round 2.39 now, this is not as a percent yet. This is just a za number, so I need to turn this into a percent 0.39 as a percent is 39 percent as your final answer.