Negative 16 over nine, or I can even write this as In front of the whole, in front of the whole fraction like that, or I could say that it's So, this could be rewritten as, and I can write it eitherĪs negative 16 over 9 or I could rewrite it as negative 16/9. This complex fraction? Can you simplify thisĮxpression over here? Well, once again, we can view this as negative 16/9 divided by 3/7. Let's say negative 16 over nine over, over, I'll do this in a tan color, over, let's say, three over seven. Well, that's just gonna be equal to three. So, two times three halves, if I have three halves twice, well, that's just going to be equal to, that's going to be equal to six halves, and six halves, you can view that as, well, two halves is a whole, so this is gonna be three wholes. The reciprocal of 2/3, which is, we swap theĭenominator and the numerator, two times three over two. So, this is going to be the same thing as two times, two times This is the same thing as two divided by, two divided byĢ/3, two divided by 2/3, which is the same thing as, dividing by a fraction's the same thing as multiplying by its reciprocal. This is the same thingĪs two divided by 2/3. Would this simplify to? Well, we could go the other way around. If they said two over, I don't know, let me say two over 2/3. This example right over here, if someone were to say two over, instead of saying two over three. So, if someone were to say, actually, let me just take So, let's just use this knowledge and I'll think more complex fractions. We would calculate whatįour divided by nine is. To, if wanted to convert this into a decimal that'sĮxactly what we would do. We could interpret this, this could be interpretedĪs four divided by nine. It in a different color, if someone were to say four, 4/9, four, four over nine, If someone were to write four over, actually, let me just do Of it as a fraction." But you can also view thisĪs two divided by three. Sometimes we might say, "Hey, this is 2/3. I could write this as, I could write this as two over three. So, if I say two dividedīy, two divided by three, two divided by three, So, let's say, let's justĭo a little bit of a review. What I hope to do in this video is emphasize the relation, the connection, between fractions and division and then using that knowledge to help us simplify some 10 will go into both 110 and 200 so divide both by 10 to simplify it to the smallest possible fraction :) eventually you'll then just become good at looking at the numbers than having to keep writing the common factors. 110/200 you just have to look at the numbers and ask yourself What number goes both into 110 and 200? well look at the last 2 numbers first so clearly. Why? because from numbers 100 and above it becomes too hard and takes too long to keep writing all the common factors for it but just to give it a process to follow people just choose to use GFC for only proper fractions and change it into a mixed fraction only for improper fractions.įor bigger Proper Fractions say. Well you need to use the GCF one for just Proper Fractions and then the one changing it into a mixed fraction for any improper fractions. Then the other is where you Simplify an improper fraction into a mixed number by dividing the numerator (top number) by the denominator (bottom number), and you'll get a number with a remainder so you write the number as your whole number then write the remainder next to it, draw a line under it and write the original denominator of the fraction you just simplified under it. It's defo a tricky thing to see until you get it like i just did lol but there's 2 ways you simplify fractions, first is the one where you Simplify by finding the Greatest Common Factor (GCF) for the top and bottom numbers of your answer then divide them both by it.
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