"Let's start with... let's say if we have light denominators."
"To make your life easier in the exam, I strongly suggest that you get familiar with fractions."
"Flight is absolutely more fun, even if it's a quarter of 80."
"When you divide two fractions, you can really just multiply by the reciprocal."
"Pie charts are really important. They are a great way to visually represent data as a fraction part of a whole, hence a pie with pie slices."
"So what does the empirical rule tell us? What fraction is between minus 1 and 1, roughly? 68%, right?"
"Whenever the denominator of a fraction is very large, you're going to get a small value like 0.001."
"Since the products go up, the value of the fraction will increase."
"A common denominator is when two or more fractions have the same denominator."
"If one quarter is 117, multiply it by three for three-quarters."
"Always just look to follow normal fraction rules and obviously looking to factorize where possible in these questions."
"Adding and subtracting fractions is basically the same procedure."
"You're going to find fractions much easier."
"0.5 repeating is equal to 1 over 2."
"Point 5, 1 repeating is equal to 51 over 99."
"4 and 151 over 165 is equal to 8, 11 over 165."
"If you're going to take your shape and make it eight and three eighths you gotta understand your sixteenths now, right? Yeah, you know so it's just fractions, I love it."
"Oh, and here's our two fractions. Something that's very clear about these two different fractions is there are different colors."
"Equivalent fractions are two different fractions that name the same number."
"A Bitcoin can be broken into a hundred million increments. So, if you got like ten dollars of Bitcoin, it's like 0.00001 Bitcoin."
"Now let's multiply top and bottom by the common denominator of these two fractions."
"3 over here we have balanced it but the only problem is we cannot leave fractions in our final answer so how do we get rid of the denominator of the fraction just multiply the whole thing by two"
"The second easiest thing to do is to divide fractions."
"So let's say we have resources here and what I'm going to do is just open up a document and I'm going to call this one my I like to teach fractions in my videos so we're going to do fractions practice."
"To divide fractions, convert the division into multiplication and flip the second fraction."
"To change from improper fraction to mixed number, you'll multiply the whole number by the denominator and add the numerator."
"Solving questions on improper fractions is exactly the same as solving questions on proper fractions."
"In order to add these two fractions, we're going to rewrite both of them such that they are over the common denominator of 20."
"All fractions can be regarded as long division."
"If you have fraction equals fraction, you can use what's called cross multiplication."
"If you have more than one fraction, you can get rid of both of them at the same time by multiplying both equations by a common denominator."
"You need to know your positive negative numbers and how to work with fractions to do these basic one-step equations."
"Fractions are better than decimals and can achieve everything that a decimal tries to do and more."
"Remember next time you need to talk about a fractional quantity of something like here I got about 19 and a third white boards imagine how much harder it would be to call this 19.3 repeating white boards fractions are way better though."
"Fractions are parts of whole things, like slices of pizza. We can have halves, fourths, or quarters, and they can help us share things fairly."
"When I flip it, I go from a positive to a negative, but then I also flip the numerator and the denominator, yep."
"What the negative does is simply flip the fraction."
"Star is less than all positive fractions, and greater than all negative fractions."
"In fact, you get more than just all the fractions; you get all the other real numbers!"
"Rational number is a number that can be written as a fraction."
"Fractions is one of the things that gives people the most trouble, but in fact, it's one of the easiest things to do once you know how to do it."
"What is a fraction? It is basically telling you or a way for you to mathematically express when you have something less than one."
"If I have a pizza and I cut it into 12 pieces and I give you six of those pieces, how much pizza do you really have? You have half of that pizza."
"If a student really understands fractions, then there probably won't have any problems understanding anything else in algebra, geometry, or anything that follows."
"To simplify a fraction, divide the top and bottom by the same number."
"Whatever you've done to the bottom of a fraction, you also need to do to the top to keep it equivalent."
"In order to rationalize the denominator of any large fraction like that, we're going to multiply the top and the bottom by what we call the conjugate."
"When you divide fractions, you use the algorithm keep-change-flip to rewrite fractions as multiplication problems."
"Any whole number can be rewritten as a fraction by placing it over one."
"This fraction, this rational expression, is equivalent to the sum of these two individual fractions."
"Factoring came in handy when I was working with fractions like getting common denominators."
"Ratios are very similar to fractions."
"Always make sure once you get rid of your fractions in the numerator and the denominator by multiplying by the LCD, now you want to see if you can simplify."
"In dozenal, all of this is better. A half is <.6>, six twelfths, a third is <.4>, four twelfths, and a fourth is <.3>, three twelfths."
"To find the reciprocal of a fraction, you just flip it upside down."
"When you have fraction equals fraction, you can cross multiply."
"When you multiply fractions, if you end up having the same thing in the top as you also have in the bottom, they cancel because they divide away."
"Rationalize denominators, you can multiply both the top and the bottom of the fraction by the root."
"Dividing by a fraction is the same as flipping it over and multiplying."
"When we're adding fractions, we need to make the denominators the same."
"Eight sevenths is an improper fraction."
"One-tenth of something is just a fraction of the amount."
"The square root of a quarter is actually a half."
"You can multiply or divide a fraction by anything you want, as long as you do it to the numerator and to the denominator."
"Ladies and gents, boys and girls, I had to go and grab one from the seven; it changed to six, but that one that I grabbed, I express it as 12 over 12."
"Fractions are really one of those concepts that students need to understand as they continue going year to year."
"What can we add to one third that will give us one? We can add two thirds."
"Don't be afraid and don't think it's a waste of time to really strengthen your ability to work with fractions, make sure you're good with positive negative numbers, order of operations."
"We can simplify our fraction by dividing the numerator and the denominator both by 2."
"Two plus four is six, but these two fractions have unlike denominators, so we need to make them common."
"When you are dividing fractions, all you have to do is multiply by the reciprocal."
"Multiplying fractions is one of the nicest topics."
"That's a much nicer fraction that we might be able to write as a decimal."
"When we are adding fractions together, we need to have a common denominator."
"A rational number can be written as a fraction."
"Any decimal that stops can always be written as a fraction, and so they're all rational."
"Dividing by a fraction is the same as flipping that fraction over and multiplying."
"For this type of question, it's good to remember what a half, a quarter, and a third is in advance, as these are the main fractions you would be working with."
"We know that two-thirds is sixty-six point six recurring."
"We need to know how to work with mixed number fractions and convert these into improper fractions."
"We're going to have to know how to divide fractions."
"Anytime you're dealing with rational expressions... it's all just doing operations that you've been doing with fractions."
"When you multiply fractions together, you can multiply numerator times numerator, denominator times denominator."
"When we add the numerators together, we keep the denominator for 5/8."
"When you have mixed numbers, change them to improper fractions; it's going to make your life a little bit easier."
"Every quarter there's four quarters to make a whole."
"Real numbers... are used for positive or negative numbers that can or may have a decimal fraction."
"Negative powers means they're unhappy, they want to flip to the other side of the fraction."
"Mr. Grant bought 48 meters of wire. He used 13/16 of the wire to make basket frames."
"Each bow was made with 5/12 of a meter of satin ribbon."
"When we divide by a fraction, actually your answer gets bigger."
"So they actually remain in there, five-sixths."
"We're trying to get rid of fractions, not make them bigger."
"When you're dividing fractions, you always multiply by the reciprocal of the second fraction."
"All repeating decimals can be expressed as a fraction."
"In order to add or subtract fractions, the denominators must be the same."
"Fractions are simplified when they share no common factors."
"The reason why we can cross this out is because we have 4 over 4, that makes 1."
"The only reason why you cross stuff out or simplify in fractions is when you can make one."
"Oh, there's so many kinds of fractions: proper, improper, adding, subtracting, multiplying, dividing, mixed numbers, LCD... and my favorite, your least common denominator."
"Rationalizing the denominator is a very important concept when you're working with fractions and square roots."
"Assume that P and Q are in lowest terms, this is the key ingredient we need."
"Two out of four pieces of anything is exactly the same as one half."
"If you have one third of something, you cut it in thirds, cut it in three equal parts."
"We learned how to simplify what we called complex fractions in Algebra."
"A rational number is just a number that can be written as a fraction."
"For fractions of circles, once you know the fraction, it's consistent."
"When you know your equivalence between decimals and fractions, you can say 0.2 is the same as a fifth."
"A half plus a quarter is three quarters... you have to make sure that on the bottom of the fraction you get the same number."
"One of the critical areas that people struggle in is fractions."
"If you know how to work with basic fractions, you are good in arithmetic."
"The lowest common denominator is the lowest number that both of the denominators can go into without a remainder."
"Percentages are considered fractions of one, so 50% is 0.5, 100% is one."
"If you're doing a fraction of a number, divide by the bottom, times by the top."
"Omar is wrong because for it to be a quarter, it would need to be five out of twenty."
"To multiply fractions, you multiply the numerators, then multiply the denominators."
"If you decrease the denominator of a fraction, the number goes up."
"So to find out a quarter of it, we just divide it by four."
"Whenever you're multiplying, subtracting, or dividing with fractions, you must always convert them into improper fractions if they're mixed numbers."
"So we need to make it a mixed number in its simplest form."
"With any fraction, you need to simplify it, we got to reduce this."
"When you have a fraction with the same number on the top and the bottom, it's equal to 1."
"Four fifths is greater than three fourths."
"Two-fifths has a greater value than one-third."
"Seventeen fourths is the same as saying four and one quarter."
"Three and three quarters... would equal fifteen fourths."
"Ten and one-fifth is fifty-one fifths."
"If I add two-fifths to one-fifth, I'm getting three fifths."
"Remember, every fraction is a division problem."
"The LCD, which of course stands for the lowest common denominator of two fractions, is 840."
"You absolutely need to understand how to find the LCD if you're going to add or subtract two fractions."
"When multiplying fractions, we first need to make them improper fractions if they're mixed numbers."
"Whenever we give fractional answers, we never give them like this without this fraction here being fully simplified."
"Our final answer is just one over nine."
"Remember when adding, you add the numerators and keep the denominator the same."
"All fractions are really a way of writing division."
"When we have 1.5 of something, we have one and a half."
"Rational numbers are numbers that can be written as a fraction."
"Any fraction where the top number is smaller is called a proper fraction."
"Every fraction can be written as division."
"We have 24 out of 32, let's write it as a fraction."
"Simpler will mean the denominators are simpler, meaning those fractions will be with their bottoms or denominators that will either be linear powers or irreducible quadratic powers."
"Oh Lord, there's so many kinds of fractions: they got proper, improper, adding, subtracting, multiplying, dividing, mixed numbers, LCD... and my favorite, your least common denominator."
"If you times the top by something and times the bottom by something, it doesn't change the fraction at all."
"You can't add fractions unless you have the same denominator."
"If you have a cake and you divided it into quarters, how many pieces do you have? You would have 4."
"Every fraction like one-half or one-third or three-fourths has an equivalent decimal."