Hello everyone! Mr. H assigned us all a post answering a few percent questions, and here is mine. Feel free to leave a comment! 
The first question asks what is 245% of $356.80. To solve this particular question the easiest way to do so is to use a ratio chart, as shown in the image above. As mentioned previously, the question asks what is 245% of $356.80, meaning $356.80 is the whole, or 100%. That is the first thing you put is what 100% is, or the whole. Our goal is to find what 245% of $356.80 is, so the easiest way to attack this kind of question is to find what 1% is. So how do we get from 100% to 1%? We divide by 100! Remember, whatever we do to one side we must to do the other (of the ratio chart). 100% divided by 100 is 1, and 356.80 divided by 100 is 3.5680. Now that we know what 1% of $356.80 is we can easily find out what 245% is quickly, simply by multiplying 1 by 245. Quite obviously, 1 multiplied by 245 is 245, and 3.5680 multiplied by 245 is 874.16. Our answer is $874.16.
The question asks what 68 3/4 of 730 is. We're using a ratio chart to solve this question. We begin with what 100% is, and divide that by 100 on both sides to find what 1% is, which in this case, is 7.3. From there we multiply 1 by 68.75 because that is the percent of we are looking for. Our answer is 501.875.
The question asks what 360% of 129.95. We begin our ratio charts with what 100% is, which would be 129.95. To easily find what 360% is since we know what 100% is, we divide 100% by 1, (which finds us 1%) and multiply by 360, which would obviously give us 360%. Since we divided and multiplied said numbers on the Percents side, we must do so on the Value's side. 129.95 divided by 100 is 1.2995, and 1.2995 multiplied by 360 is 467.82. Our answer is $467.82.
The question asks for the commission of a house if the house is sold for $345 000. To do that we find what 6.75% of 345 000 is. We begin our ratio chart with what 100% is, which in this case is $345 000. We divide 100% on both sides by 100 to find 1 percent, which is 3450, and multiply that by 6.75, which is 23287.5%. Our answer is $23287.50. We do this because commission is what the salesmen gets off of what he/she sells. He/She gets a certain percentage (in this case 6.75) of the sales price (in this case $345 000) so that's why we solved for 6.75% of 345 000.
The question asks how much sodium is one person eating daily if people are eating 182% of 1700 mg of it. As always be begin by writing out what 100% is, which would be in this case 1700. We divide that by 100 on both sides to find 1%, which would be 17. Then we multiply that by 182 on each side to solve for our answer. Our answer is 3094 mg. We do this because 1700 mg is what is recommended about, and what people are usually taking in is 182% of this. Our goal was to find 182% of that because that's what people were taking in.
In the image above the example is 1/2 + 3/4. As mentioned previously, when adding fractions we basicially compare so when we compare the wholes need to be the same. For the wholes to be the same we must have a common denominator. Luckily, in this example 4 is our common denominator. So we re-write out equation with 4 as the denominator. Since our denominators have changed, so must our numerators. Whatever you do to the bottom, you must do to the top. So we ask ourselves, what did we do to 2 to get 4? We multiplied by 2, so we multiply the numerator by 2. So our answer is 2/4, the equivalent fraction to 1/2. What did we do to 4 to get 4? We multiplied by 1. So we multiply 3 by 1, 3/4. Remember to simplify, or change improper fractions to mixed numbers.
Like adding fractions, to subtract fractions we also find a common denominator. Once you've found a common denominator and the numerators are changed appropriately, you can then normally subtract the numerators. 
Subtracting mixed fractions is basicially the same as subtracting any old fraction, except you need to make the mixed fraction into an improper fraction. To do so, you multiply the whole number by the denominator and add the numerator to find the numerator, and the denominator stays the same. Then, you can subtract as you usually do.
Multiplying fractions is a fairly simple business. To multiply fractions, you multiply the numerator by the numerator, and denominator by the denominator. Your answer could quite conceivably be somewhat of a large number. It is best to simplify to lowest terms, as shown in the image above.
There are many ways to divide fractions. One of the simplest ways to divide fractions, is to multiply the first fraction by the second fractions recipricol. This method works everytime. Refer to the image above to see an example of this method. Remember to always simplifly to answer to lowest terms.
Another way to divide fractions is to use a ratio table. Mr. H's analogy of Paint Can and Room works well in interesting ways. To use the ratio table we find how many paint cans are needed for one whole room, in theory. On the left side is PC, or paint can. On the left, is RM, or room. RM is where the second fraction goes. We're trying to find out how many times the second fraction (RM) goes into the first fraction (PC). So, we need to get the fraction on the right to one whole. (eg. 5/5, 1/1, 3/3, etc. etc.) Remember, whatever you do to one side, you do to the other.
The image above is an representation of the chocolate bars. Each chocolate bar was split into 3 equal pieces. 2/3 of each chocolate bar was coloured in. If I were to make the chocolate bars wholes, I would have 6 2/3 chocolate bars.
The best way to answer a word problem such as this would be to use a ratio table, and when we use a ratio table we're dividing. 
15 scoops of flour make 6 2/3 cakes. What I did here was began with 2 1/4 scoops equaling 1 cake. My objective was to find out how many cakes 15 scoops made, so I plugged 15 under scoops. Then I had to figure out how I got from 9/4 (improper version of 2 1/4) to 15/1, which is the same as saying 15. I used some simple algebra and found that I had to multiply 20/3 to get from 9/4 to 15/1. Since I did that to one side, I have to have done it to the other side. On the cake side, I got 6 2/3.
The image above is a representation of the Flatbush lot. 2/5 of the whole lot is the playground. 
Above is a representation of how much of the lot will be playground. Now 3/4 of that 2/5 will blacktop.
We're trying to find how many times 3/4 will fit into 2/5 evenly, since 2/5 of the lot is playground and 3/4 of that (2/5) is hardtop. To do so we divide 2/5 by 3/4.
One of the most easiest ways to compare fractions is to divide the numerator by the denominator, or finding the decimal. 8 divided by 15 is 0.53 repeated.
Above is a representation of Carol Gardens. As you can see it is identical to Flatbush. 3/4 of the whole lot is the playground. 
1.875 is 15/8 in decimal form.
y that could be of use to us.
The Greeks were an ancient civilization who greatly influencial in philosophy, educational systems, etc. etc.
The three pictures are linked together because it has to with the Pythagorean Theorum. The Pythagorean therum tells us the relationship between the legs and hyptonuse of a right angle triangle, that is why there is a picture of a right angle triangle in the post (we know it is a right angle because of the square at the corner). There is a picture of a square because in the Pythagorean Theorum you make multiple right angles, resulting in a square. The last picture is of Pythagoras himself, or rather a sculpture of him. It was his theorum, so that is why he is there.
You are able to explain the artifacts using the vocabulary because it all has to do with the theorum. You use right angles the entire time because you are trying to find the relationship between the legs of a right angle triangle.
Here are my Pythagoras Videos.
Now your question is simplified to a two step equation. Add the opposite, and balance out by adding 18 on both sides.
Now, you are left with a lovely one step equation. Simply use opposite inverse to isolate the variable. Since 2a is a multiplying question (because 2 is being multiplied by a) you would divide 2a by 2 to isolate a. To balance out, you multiply 12 by 2 as well.
